Publications

　 Research Papers

　　Joint author

　　1. Naoya Enomoto and Takao Satoh; On the derivation algebra of the free Lie algebra and trace maps,
　　　　Algebraic and Geometric Topology, 11 (2011), 2861-2901. arXiv:1012.2169v1

　　2. Michihiko Fujii and Takao Satoh; A necessary condition for geodesic representatives of elements of Artin groups of dihedral type to be geodesic,
　　　　Hiroshima Mathematical Journal, 43, No.2 (2013), 139-147.

　　3. Michihiko Fujii and Takao Satoh; The growth series of pure Artin monoids of dihedral type,
　　　　RIMS Kokyuroku Bessatsu, B48 (2014), 111-130.

　　4. Naoya Enomoto and Takao Satoh; New series in the Johnson cokernels of the mapping class groups of surfaces,
　　　　Algebraic and Geometric Topology 14 (2014), no. 2, 627-669. (Dedicated to the memory of Midori Kato.) arXiv:1012.2175v1

　　5. Eri Hatakenaka and Takao Satoh; On the rings of Fricke characters of free abelian groups,
　　　　Journal of Commutative Algebra, vol. 7, No. 4, Winter 2015, 545-565.

　　6. Eri Hatakenaka and Takao Satoh; On the graded quotients of the ring of Fricke characters of a free group,
　　　　Journal of Algebra, 430 (2015), 94-118. (Dedicated to Professor Sadayoshi Kojima.) arXiv:1206.1500v1

　　7. Michihiko Fujii and Takao Satoh; The geodesic growth series for pure Artin groups of dihedral type,
　　　　RIMS Kokyuroku Bessatsu, B66 (2017), pp.133-146.

　　8. Naoya Enomoto, Yusuke Kuno and Takao Satoh; A comparison with structures in the Johnson cokernels for the mapping class groups of surfaces.
　　　　Topology Appl. 271 (2020), 107052, 14 pp.

　　9. Toshiyuki Akita, Rikako Kawasaki, and Takao Satoh; Presentations of Schur covers of braid groups, Journal of Group Theory 27 (2024), 207-222.

　　10. Naoya Enomoto and Takao Satoh; On the structures of the Johnson cokernels of the basis-conjugating automorphism groups of free groups,
　　　　Glasgow Mathematical Journal, to appear.

　　Single author

　　1. Takao Satoh; Twisted first homology groups of the automorphism group of a free group,
　　　　Journal of Pure and Applied Algebra, 204 (2006), 334-348.

　　2. Takao Satoh; New obstructions for the surjectivity of the Johnson homomorphism of the automorphism group of a free group,
　　　　Journal of the London Mathematical Society, (2) 74 (2006), 341-360.

　　3. Takao Satoh; The abelianizetion of the congruence IA-automorphism group of a free group,
　　　　Mathematical Proceedings Cambridge Philosophical Society, 142 (2007), 239-248. (Dedicated to Professor Yukio Matsumoto.)

　　3'. Takao Satoh; Corrigendum: The abelianization of the congruence IA-automorphism group of a free group,
　　　　Math. Proc. Cambridge Philos. Soc. 143 (2007), no. 1, 255-256.

　　4. Takao Satoh; Twisted second homology groups of the automorphism group of a free group,
　　　　Journal of Pure and Applied Algebra, 211 (2007), 547-565.

　　5. Takao Satoh; The cokernel of the Johnson homomorphisms of the automorphism group of a free metabelian group,
　　　　Transactions of American Mathematical Society, 361 (2009), 2085-2107. (Dedicated to Professor Shigeyuki Morita.)

　　6. Takao Satoh; On the image of the Burau representation of the IA-automorphism group of a free group,
　　　　Journal of Pure and Applied Algebra, 214 (2010), 584-595.

　　7. Takao Satoh; A reduction of the target of the Johnson homomorphisms of the automorphism group of a free group,
　　　　Transactions of American Mathematical Society, 363 (2011), 1631-1664.

　　8. Takao Satoh; On the fourth Johnson homomorphism of the automorphism group of a free group,
　　　　Journal of Algebra, 323 (2010), 3182-3201.

　　9. Takao Satoh; The Johnson filtration of the McCool stabilizer subgroup of the automorphism group of a free group,
　　　　Proc. of Amer. Math. Soc. 139 (2011), 1237-1245.

　　10. Takao Satoh; On the Johnson filtration of the basis-conjugating automorphism group of a free group,
　　　　Michigan Mathematical Journal, 61 (2012), 87-105.

　　11. Takao Satoh; On the lower central quotients of the free groups of finite rank of a certain variety,
　　　　Journal of Algebra 331 (2011), 449-465.

　　12. Takao Satoh; The kernel of the Magnus representation of the automorphism group of a free group is not finitely generated,
　　　　Mathematical Proceedings Cambridge Philosophical Society, 151 (2011), 407-419. (Dedicated to Professor Akira Kono.)

　　13. Takao Satoh; On the lower central series of the IA-automorphism group of a free group,
　　　　Journal of Pure and Applied Algebra, 216 (2012), 709-717

　　14. Takao Satoh; On the augmentation quotients of the IA-automporphism group of a free group,
　　　　Algebraic and Geometric Topology, 12 (2012) 1239-1263.

　　15. Takao Satoh; First cohomologies and the Johnson homomorphisms of the automorphism group of a free group,
　　　　Journal of Pure and Applied Algebra, 217 (2013), 137-152.

　　16. Takao Satoh; On the basis-conjugating automorphism groups of free groups and free metabelian groups,
　　　　Mathematical Proceedings Cambridge Philosophical Society 158 (2015), 83-109.

　　17. Takao Satoh; The Johnson-Morita theory for the ring of Fricke characters of free groups,
　　　　Pacific Journal of Mathematics, 275 (2015), 443-461.

　　17'. Takao Satoh; Erratum for "The Johnson-Morita theory the rings of Fricke characters of free groups",
　　　　Pacific Journal of Mathematics, 296(2) (2018), 509-510.

　　18. Takao Satoh; On the universal SL_2-representation rings of free groups,
　　　　Proceedings of the Edinburgh Mathematical Society (2) 60 (2017), no. 4, 973-1001.

　　19. Takao Satoh; On the Andreadakis conjecture restricted to the "lower-triangular" IA-automorphism groups of free groups,
　　　　Journal of Algebra and Its Applications, Vol. 16, No. 5 (2017), 1750099, 1-31.

　　20. Takao Satoh; On the SL(2,C)-representation rings of free abelian groups.
　　　　Math. Proc. Camb. Phil. Soc., Vol. 167, No. 2 (2019), 229-247.

　　21. Takao Satoh; The third subgroup of the Andreadakis-Johnson filtration of the automorphism group of a free group.
　　　　Journal of Group Theory 22 (2019), no. 1, 41-61.

　　22. Takao Satoh; Generators and relations of "lower-triangular" automorphism groups of free groups.
　　　　J. Pure Appl. Algebra 224 (2020), no. 8, 106340, 27 pp.

　　23. Takao Satoh; On the low dimensional cohomology groups of the IA-automorphism group of a free group of rank three.
　　　　Proc. of the Edinburgh Mathematical Society, 64 (2021), 338-363. (Dedicated to Professor Shigeyuki Morita.)

　　24. Takao Satoh; On the graded quotients of the SL_m-representation rings of groups.
　　　　Pacific Journal of Mathematics 312-2 (2021), 477-504. DOI 10.2140/pjm.2021.312.477

　　25. Takao Satoh; On unstable twisted rational cohomology groups of the automorphism groups of free groups,
　　　　Journal of Topology and Analysis, Pages 1-37, 2024. https://doi.org/10.1142/S1793525324500237.

　　26. Takao Satoh; On the Grossman representations and twisted cohomology groups of the automorphism groups of free groups.
　　　　Journal of Group Theory, to appear.



　 Preprints

　　Joint author

　　1. Jaques Darné, Naoya Enomoto and Takao Satoh; On the Andreadakis Problem for the McCool groups.

　　Single author

　　1. Takao Satoh; First cohomologies and the Johnson homomorphisms of the automorphism groups of free groups II.



　 Oberwolfach Reports

　　1. Takao Satoh; On the Johnson homomorphisms of the automorphism group of a free group,
　　　　Oberwolfach Reports No. 53, Teichmuller Theory, (2010), 3142-3143.

　　2. Takao Satoh; The Johnson-Morita theory for the rings of Fricke characters, Oberwolfach Reports,
　　　　New Trends in Teichmuller Theory and Mapping Class Groups, Volume 11, Issue 1, (2014), 440-441.

　　3. Takao Satoh; On the Johnson homomorphisms of the automorphism groups of free groups, Oberwolfach Reports 1803,
　　　　Topology of Arrangements and Representation Stability, (2018), 87-90.

　 12_2010　 2_2014　 1_2018


　 RIMS kokyuroku　（京都大学数理解析研究所講究録）

　　1. Takao Satoh; Twisted first homology group of the automorphism gorup of a free group,
　　　　京都大学数理解析研究所講究録1343, 短期共同研究「位相変換群とその広がり」，2003年10月, 25-30.

　　2. Takao Satoh; Twisted first homology group of the automorphism gorup of a free group,
　　　　京都大学数理解析研究所講究録1387, 研究集会「双曲空間に関連する研究とその展望II」, 2004年7月, 144-149.

　　3. Takao Satoh; Twisted second cohomology group of a finitely presented group,
　　　　京都大学数理解析研究所講究録1393, 短期共同研究「変換群とsurgery」，2004年9月, 106-114.

　　4. Takao Satoh; Some remarks on the Johnson homomorphism of the automorphism group of a free group,
　　　　京都大学数理解析研究所講究録1449, 研究集会「変換群論の新たな展開」, 2005年9月, 56-71.

　　5. Takao Satoh; On the Johnson homomorphism of the automorphism group of a free group,
　　　　京都大学数理解析研究所講究録1518, 研究集会「双曲空間の複素漸近解析と幾何学的研究」, 2006年10月, 119-131.

　　6. Takao Satoh; The abelianization of the congruence IA-automorphism group of a free group,
　　　　京都大学数理解析研究所講究録1517, 研究集会「変換群論の手法」, 2006年10月, 60-68.

　　7. Takao Satoh; The cokernel of the Johnson homomorphism of the automorphism group of a free metabelian group,
　　　　京都大学数理解析研究所講究録1575, 研究集会「Borsuk-Ulam型定理の変換群論的アプローチ」, 2008年1月, 40-64.

　　8. Takao Satoh; On the image of the Burau representation of the IA-automorphism group of a free group,
　　　　京都大学数理解析研究所講究録1612, 研究集会「変換群の幾何とその周辺」, 2008年9月, 87-98.

　　9. Takao Satoh; On the lower central series of the IA-automorphism group of a free group,
　　　　京都大学数理解析研究所講究録1732, 研究集会「変換群と手術理論」，2011年3月, 75-85．

　　10. 佐藤 隆夫; On the cokernel of the Johnson homomorphism of the mapping class group of a surface,
　　　　京都大学数理解析研究所講究録1777, 研究集会「Geometric and analytic approaches to representations of a group and
　　　　representation spaces」, 2012年2月, 88-102.

　　11. 佐藤 隆夫; 自由群の自己同型群のねじれ係数コホモロジーについて,
　　　　京都大学数理解析研究所講究録1784, 研究集会「有限群のコホモロジー論とその周辺」, 2012年3月, 119-134.

　　12. Takao Satoh; On the graded quotients of the ring of Fricke characters of a free group,
　　　　京都大学数理解析研究所講究録1816, 研究集会「変換群の幾何の展開」,2012年10月, 83-89.

　　13. Takao Satoh; On the augmentation quotients of the IA-automorphism group of a free group,
　　　　京都大学数理解析研究所講究録1876，研究集会「変換群のトポロジーとその周辺」, 2014年1月, 9-15.

　　14. Takao Satoh; On the Andreadakis conjecture of the automorphism groups of free groups,
　　　　京都大学数理解析研究所講究録1968，研究集会「新しい変換群論の幾何」, 2015年11月, 117-125.

　　15. Takao Satoh; On the SL(m,C)-representation algebras of free groups and the Johnson homomorphisms,
　　　　京都大学数理解析研究所講究録2016, 研究集会「新しい変換群論とその周辺」, 2017年1月，148-153．

　　16. Takao Satoh; On the low dimensional cohomology groups of the IA-automorphism group of the free group of rank three,
　　　　京都大学数理解析研究所講究録2061, 研究集会「有限群のコホモロジーとその周辺」，2018年4月, 120-125．

　　17. Takao Satoh; On the Andreadakis conjecture of the automorphism group of a free group,
　　　　京都大学数理解析研究所講究録2098, 研究集会「変換群論における幾何・代数・組み合わせ論」，2018年12月, 28-32．

　　18. Takao Satoh; 自由群の自己同型群とその部分群のAndreadakis予想とJohnson準同型について,
　　　　京都大学数理解析研究所講究録2135, 研究集会「変換群論とその応用」，2019年11月, 112-125．

　　19. Takao Satoh; On unstable twisted rational cohomology groups of the automorphism groups of free groups,
　　　　京都大学数理解析研究所講究録2199, 研究集会「変換群論の新展開」，2021年9月．

　　20. Takao Satoh; On the Johnson homomorphisms of the basis-conjugating automorphism groups of free groups,
　　　　京都大学数理解析研究所講究録2276, 研究集会「変換群論の新展開」，2024年2月, 158-162．

　

Dear Tora-chan

Thanks you for playing with my daughter.

May your soul rest in peace.

Our thoughts are with you.


向こうでうちの猫に会ったら仲良くしてあげてね．


← Tora-chan at RIMS

　　



　 Books, etc.

　 Single author

　　1. 佐藤 隆夫；シローの定理，大学数学スポットライトシリーズ，第1巻，168p, 近代科学社，2015年4月10日．
　　　　ISBN-13: 978-4764904781. 訂正表（初版）, 2019.1.31.更新

　　2. 佐藤 隆夫；群の表示，大学数学スポットライトシリーズ，第6巻，192p, 近代科学社，2017年2月28日．
　　　　ISBN-13: 978-4764905337. 訂正表，2020.1.9.更新

　　3. 佐藤 隆夫；テキストブック線形代数，244p，裳華房，2019年7月15日．
　　　　ISBN-978-4-7853-1582-5. 訂正表，2020.1.8.更新

　　4. 佐藤 隆夫；群のコホモロジー，大学数学スポットライトシリーズ，第10巻，182p, 近代科学社，2022年4月30日．
　　　　ISBN-13: 978-4764906501. 訂正表, 2022.6.28.更新

　　5. 佐藤 隆夫；基本群と被覆空間，320p，裳華房，2023年11月21日．
　　　　ISBN-13: 978-4785316020

　 Full chapter submissions to books

　　1. Takao Satoh; On the Johnson homomorphisms of the mapping class groups of surfaces. (survey article. refereed.)
　　　　Handbook of Group actions, Vol. I, ALM31, 373-405, Higher Education Press and International Press Beijing-Boston. (Editor: L. Ji)
　　　　ISBN: 978-1571463005.

　　2. Takao Satoh; A survey of the Johnson homomorphisms of the automorphism groups of free groups and related topics. (survey article. refereed.)
　　　　Handbook of Teichmueller theory, volume V. (Editor: A. Papadopoulos), 167-209.
　　　　ISBN: 978-3-03719-160-6.

　　3. Takao Satoh; Group Theory from a Mathematical viewpoint. (survey article. refereed.)
　　　　Symmetry (Group Theory) and Mathematical Treatment in Chemistry. (Editor: T. Akitsu), InTech.
　　　　ISBN: 978-1-78923-315-5. (For students in chemistry)

　 Commentaries

　　1. 佐藤 隆夫；曲面の位相幾何学，数学教育57巻2号，東京理科大学数学教育研究会，47-52, 2015年.

　　2. 佐藤 隆夫；群とは何か，科学フォーラム4月号，東京理科大学，2024年，to appear.

　 Editor of books

　　1. Takao Satoh ; RIMS kokyuroku 1922, The Topology and the Algebraic Structures of Transformation Groups，October, 2014．
　　　　ISSN: 1880-2818.
　　　 （佐藤 隆夫（研究代表者）；京都大学数理解析研究所講究録1922，変換群の位相幾何と代数構造，2014年10月．）

　　2. Takao Satoh ; RIMS kokyuroku 2060, Algebraic Topology focused on Transformation Groups．
　　　　ISSN: 1880-2818.
　　　 （佐藤 隆夫（研究代表者）；京都大学数理解析研究所講究録2060，変換群を核とする代数的位相幾何学，2018年4月．）



Theses

　 Doctorial thesis　(The University of Tokyo, 47010)：　自由群の自己同型群のホモロジー，及び付随するリー代数の組み合わせ群論的研究．(Japanese title only)

　　　1. Takao Satoh; Twisted second homology groups of the automorphism group of a free group.
　　　2. Takao Satoh; New obstructions for the surjectivity of the Johnson homomorphism of the automorphism group of a free group.
　　　3. Takao Satoh; The abelianization of the congruence IA-automorphism group of a free group.

　 Master's theses　(The University of Tokyo, 26019)：

　　　1. Takao Satoh; Twisted first homology groups of the automorphism group of a free group.
　　　2. Takao Satoh; Twisted second cohomology group of a finitely presented group.
　　　3. Takao Satoh; Homology groups of a congruence IA-automorphism group of the free group of rank 2.
　　　4. Takao Satoh; A descending filtration of IA_n induced by some linear representations of Aut F_n.



　Last Update：21. 6. 2025.