Advanced Studies in Pure Mathematics 2001; 474 pp; hardcover Volume: 32 ISBN10: 4931469159 ISBN13: 9784931469150 List Price: US$105 Member Price: US$84 Order Code: ASPM/32
 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 150page manuscript containing his most recent contribution to group theory. This paper, "On the Prime Graph of a Finite Simple Groupan Application of the Method of FeitThompsonBenderGlauberman", 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 postpublication. 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 groupan application of the method of FeitThompsonBenderGlauberman
 M. Aschbacher  a characterization of \(^2E_6(2)\)
 E. Bannai, M. Koike, A. Munemasa, and J. Sekiguchi  Some results on modular formssubgroups 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  Nonabelian 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 AuslanderReiten 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  2Fmodules with quadratic offender for the finite simple groups
 F. G. Timmesfeld  On the structure of special rank one groups
 Y. Usami  Principal blocks with extraspecial 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)
