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Groups and Combinatorics--In Memory of Michio Suzuki
Edited by: Eiichi Bannai, Kyushu University, Fukuoka, Japan, Hiroshi Suzuki, International Christian University, Tokyo, Japan, Hiroyoshi Yamaki, Kumamoto University, Japan, and Tomoyuki Yoshida, Hokkaido University, Sapporo, Japan
A publication of the Mathematical Society of Japan.
Advanced Studies in Pure Mathematics
2001; 474 pp; hardcover
Volume: 32
ISBN-10: 4-931469-15-9
ISBN-13: 978-4-931469-15-0
List Price: US$105
Member Price: US$84
Order Code: ASPM/32
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In honor of Professor Michio Suzuki's 70th birthday, a conference was held at the International Christian University (Tokyo, Japan). This book presents the proceedings of that conference.

Professor Suzuki had a profound influence on the development of group theory over the last 50 years. It's generally believed that his work in the 1950s ignited work on the classification of finite simple groups, and in the 1960s and 1970s, he was a leader in its development.

Just prior to his death in 1998, Professor Suzuki completed a 150-page manuscript containing his most recent contribution to group theory. This paper, "On the Prime Graph of a Finite Simple Group--an Application of the Method of Feit-Thompson-Bender-Glauberman", is included in this volume. Here, the editors have been meticulous in making minimal corrections to the work in order to honor the writing style and original flow of Professor Suzuki's thoughts. The book also includes contributions from the speakers at the conference, as well as papers from researchers who shared close ties with Professor Suzuki.

Volumes in this series are freely available electronically 5 years post-publication.

Published for the Mathematical Society of Japan by Kinokuniya, Tokyo, and distributed worldwide, except in Japan, by the AMS.

Readership

Graduate students and research mathematicians interested in group theory.

Table of Contents

  • K. Harada -- Michio Suzuki
  • M. Suzuki -- On the prime graph of a finite simple group--an application of the method of Feit-Thompson-Bender-Glauberman
  • M. Aschbacher -- a characterization of \(^2E_6(2)\)
  • E. Bannai, M. Koike, A. Munemasa, and J. Sekiguchi -- Some results on modular forms--subgroups of the modular group whose ring of modular forms is a polynomial ring
  • H. Bender -- Steiner systems and Mathieu groups revisited
  • E. C. Dade -- Rationally determined group modules
  • W. Feit and M. A. Shahabi -- On the lattice of all subgroups of a finite noncyclic simple group
  • P. Flavell -- Generation theorems for finite groups
  • A. A. Ivanov -- Non-abelian representations of geometries
  • M. Kitazume and M. Miyamoto -- \(3\)-transposition automorphism groups of VOA
  • T. Kondo -- The calculation of the character of moonshine VOA
  • S. Koshitani and N. Kunugi -- A remark on the Loewy structure for the three dimensional projective special unitary groups in characteristic \(3\)
  • J. McKay -- The essentials of monstrous moonshine
  • T. Okuyama and K. Uno -- On the vertices of modules in the Auslander-Reiten quiver III
  • T. Shoji -- Finite Chevalley groups --representations of finite Chevalley groups
  • R. Solomon -- The shape of the classification of finite the simple groups
  • G. Stroth -- 2F-modules with quadratic offender for the finite simple groups
  • F. G. Timmesfeld -- On the structure of special rank one groups
  • Y. Usami -- Principal blocks with extra-special defect groups of order 27
  • J. Walter -- Bases of chambers of linear Coxeter groups
  • A. Watanabe -- The Isaacs character correspondence and isotypies between blocks of finite groups
  • H. Yamaki -- Either 71 : 35 or \(L_2(71)\) is a maximal subgroup of the monster
  • S. Yoshiara -- Radical subgroups of the sporadic simple group of Suzuki
  • T. Yoshida -- \(\vert \mathrm{Hom}(A,G)\vert\) (III)
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