No.325

Seminar on Permutation Groups and Related Topics

1977/01/10～1977/01/13

都筑　俊郎

TSUZUKU,TOSHIRO

目　次

1. The Simplicity of the Green Heart (SEMINAR ON PERMUTATION GROUPS AND RELATED TOPICS)----------------------------------------------1

　　　　The Queen's College, Oxford　　　NEUMANN,PETER M.

2. Tight Spherical Designs (SEMINAR ON PERMUTATION GROUPS AND RELATED TOPICS)-------------------------------------------------------20

　　　　学習院大学理学部　　　BANNAI,EIICHI

3. On the Spectra of Certain Distance-Regular Graphs (SEMINAR ON PERMUTATION GROUPS AND RELATED TOPICS)-----------------------------25

　　　　学習院大学理学部 / 筑波大学　　　BANNAI,EIICHI / ITO,TATSURO

4. Finite Groups Admitting an Automorphism of Prime Order (SEMINAR ON PERMUTATION GROUPS AND RELATED TOPICS)------------------------30

　　　　北海道大学理学部　　　福島博　(FUKUSHIMA,HIROSHI)

5. On Cerrain Standard Subgroups (SEMINAR ON PERMUTATION GROUPS AND RELATED TOPICS)-------------------------------------------------34

　　　　東京大学教養学部 / 筑波大学数学系 / 東京大学理学部　　　GOMI,KENSAKU / MIYAMOTO,IZUMI / YAMADA,HIROMICHI

6. 2-Factorization in Finite Groups (SEMINAR ON PERMUTATION GROUPS AND RELATED TOPICS)----------------------------------------------39

　　　　愛知教育大学　　　林誠　(HAYASHI,MAKOTO)

7. On Representation of $\mathbb{R}$-Elementary Groups at 2 (SEMINAR ON PERMUTATION GROUPS AND RELATED TOPICS)----------------------42

　　　　慶応義塾大学　　　HIKARI,MICHITAKA

8. 1点のstabilizerのsocleが可解でない2重可移群について (置換群論)-------------------------------------------------------------------48

　　　　大阪教育大学　　　平峰豊　(HIRAMINE,YUTAKA)

9. On the Failure of the Thompson Factorization in p-Constrained Groups (SEMINAR ON PERMUTATION GROUPS AND RELATED TOPICS)----------51

　　　　Departments de Mathematica, Universidade de Brasilia　　　HO,CHAT-TIN

10. Quadratic Action and Related Topics (SEMINAR ON PERMUTATION GROUPS AND RELATED TOPICS)------------------------------------------54

　　　　Univ. de Brasilia　　　HO,CHAT-TIN

11. On Finite Groups with Exactly Two Real Conjugate Classes (SEMINAR ON PERMUTATION GROUPS AND RELATED TOPICS)---------------------59

　　　　一橋大学　　　岩崎史郎　(IWASAKI,SHIRO)

12. 正規でない極大部分群の共役類の数について (置換群論)-----------------------------------------------------------------------------64

　　　　明石工業高等専門学校　　　加納幹雄　(KANO,MIKIO)

13. Representations of Finite Chevalley Groups (SEMINAR ON PERMUTATION GROUPS AND RELATED TOPICS)-----------------------------------69

　　　　大阪大学理学部　　　KAWANAKA,N.

14. An Inequality for Finite Permutation Groups (SEMINAR ON PERMUTATION GROUPS AND RELATED TOPICS)----------------------------------78

　　　　東京大学理学部　　　KIYOTA,MASAO

15. Blocks with an Abelian Defect Group (SEMINAR ON PERMUTATION GROUPS AND RELATED TOPICS)------------------------------------------84

　　　　東京大学理学部　　　KIYOTA,MASAO

16. The Commutativity of the Radicals of Group Algebras (SEMINAR ON PERMUTATION GROUPS AND RELATED TOPICS)--------------------------90

　　　　筑波大学　　　KOSHITANI,SIGEO

17. 素数位数の自己同型を持つ群について (置換群論)-----------------------------------------------------------------------------------93

　　　　大阪大学理学部　　　松山広　(MATSUYAMA,HIROSHI)

18. Dihedral-Free Groups (SEMINAR ON PERMUTATION GROUPS AND RELATED TOPICS)---------------------------------------------------------96

　　　　北海道大学理学部　　　MIYAMOTO,MASAHIKO

19. On Groups Generated by an Involution and an Element of Order 3 (SEMINAR ON PERMUTATION GROUPS AND RELATED TOPICS)---------------98

　　　　北海道大学理学部　　　水谷一　(MIZUTANI,HAZIME)

20. On Symmetric Systems (SEMINAR ON PERMUTATION GROUPS AND RELATED TOPICS)--------------------------------------------------------102

　　　　大阪大学理学部　　　NAGAO,HIROSHI

21. The Enumeration Theorems Under (Permutation) Group Action and Their Application to Combinatorial Problems (SEMINAR ON PERMUTATION GROUPS AND RELATED TOPICS)---106

　　　　東海大学理学部　　　NARUSHIMA,HIROSHI

22. On the p-Rationality of Lifted Characters (SEMINAR ON PERMUTATION GROUPS AND RELATED TOPICS)-----------------------------------118

　　　　大阪市立大学理学部　　　延里嘉保　(NOBUSATO,Y.)

23. On Tight 4-Designs (SEMINAR ON PERMUTATION GROUPS AND RELATED TOPICS)----------------------------------------------------------122

　　　　大阪大学教養部　　　野田隆三郎　(NODA,R.)

24. 内部部分群をもつ有限群 (置換群論)----------------------------------------------------------------------------------------------124

　　　　東京工業大学　　　野村和正　(NOMURA,KAZUMASA)

25. 1点のstabilizerが2つのsuborbits上2-transに作用するランク5原始置換群について (置換群論)-----------------------------------------128

　　　　大阪大学理学部　　　沼田稔　(NUMATA,MINORU)

26. すべての固有値が-2以上であるadjacency行列をもつ辺正則グラフについて (置換群論)-------------------------------------------------131

　　　　大阪大学理学部　　　沼田稔　(NUMATA,MINORU)

27. On the Schur Indices of Algebraic Groups (SEMINAR ON PERMUTATION GROUPS AND RELATED TOPICS)------------------------------------135

　　　　東京都立大学理学部　　　OHMORI,ZYOZYU

28. Brauer Correspondencesについて (置換群論)--------------------------------------------------------------------------------------140

　　　　北海道大学理学部　　　奥山哲郎　(OKUYAMA,TETSURO)

29. Elements of Prime Order in Primitive Permutation Groups (SEMINAR ON PERMUTATION GROUPS AND RELATED TOPICS)---------------------143

　　　　University of Western Australia　　　PRAEGER,CHERYL E.

30. Doubly Transitive But Not Doubly Primitive Permutation Groups (SEMINAR ON PERMUTATION GROUPS AND RELATED TOPICS)---------------151

　　　　University of Western Australia　　　PRAEGER,CHERYL E.

31. Hecke Rings Over Arbitrary Fields (SEMINAR ON PERMUTATION GROUPS AND RELATED TOPICS)-------------------------------------------154

　　　　上智大学理学部　　　SAWADA,HIDEKI

32. Some Problem on Characters (SEMINAR ON PERMUTATION GROUPS AND RELATED TOPICS)--------------------------------------------------158

　　　　Downing College, Cambridge　　　SAXL,JAN

33. Permutation Groups of Some Special Degrees (SEMINAR ON PERMUTATION GROUPS AND RELATED TOPICS)----------------------------------161

　　　　Downing College, Cambridge　　　SAXL,JAN

34. Dimension Subgroups (SEMINAR ON PERMUTATION GROUPS AND RELATED TOPICS)---------------------------------------------------------182

　　　　愛知教育大学　　　TAHARA,KEN-ICHI

35. Defect 0のblocksについて (置換群論)--------------------------------------------------------------------------------------------190

　　　　小樽商科大学　　　和田倶幸　(WADA,T.)

36. Schur Index and Schur Group (SEMINAR ON PERMUTATION GROUPS AND RELATED TOPICS)-------------------------------------------------196

　　　　東京都立大学理学部　　　山田俊彦　(YAMADA,TOSHIHIKO)

37. Transfer Theorems for Cohomological G-Functor (SEMINAR ON PERMUTATION GROUPS AND RELATED TOPICS)-------------------------------201

　　　　北海道大学理学部　　　YOSHIDA,TOMOYUKI

38. On 2P-Fold Transitive Permutation Groups (SEMINAR ON PERMUTATION GROUPS AND RELATED TOPICS)------------------------------------218

　　　　学習院大学理学部　　　芳沢光雄　(YOSHIZAWA,MITSUO)