Groups and Combinatorics--in Memory of Michio Suzuki: (Advanced Studies in Pure Mathematics)

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. Information for our distributors: Published for the Mathematical Society of Japan by Kinokuniya, Tokyo, and distributed worldwide, except in Japan, by the AMS. All commercial channel discounts apply.

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