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 Gepmetric 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, 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.

  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.




  Preprints

  Joint author

  1. Naoya Enomoto, Yusuke Kuno and Takao Satoh; A comparison with structures in the Johnson cokernels for the mappsing class groups of surfaces.

  Single author

  1. Takao satoh; Generators and relations of "lower-triangular" automorphism groups of free groups.

  2. Takao Satoh; On the SL(2,C)-representation rings of free abelian groups.

  3. Takao Satoh; On the graded quotients of the SL(m,C)-representation rings of groups.

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

  5. Takao Satoh; On the low dimensional cohomology groups of the IA-automorphism group of a free group of rank three.

  6. Takao Satoh; The third subgroup of the Andreadakis-Johnson filtration of the automorphism group of a free group.




  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.

  12_2010  2_2014



  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. (和文

  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.(和文

  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.

  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」,to appear.

 

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

  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

  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.)
    to appear in Symmetry (Group Theory) and Mathematical Treatment in Chemistry. (Editor: T. Akitsu), InTech.
    ISBN 978-953-51-5679-6.

  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.

  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, to appear.
    ISSN: .
    (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,2017年)




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:20. 12. 2017.