Finite groups whose 2-subgroups are generated by at most 4 elements / [by] Daniel Gorenstein and Koichiro Harada.

Format:

Book

Author/Creator:

Gorenstein, Daniel, author.

Harada, Koichiro, 1941- author.

Series:

Memoirs of the American Mathematical Society ; no. 147.

Memoirs of the American Mathematical Society ; number 147

Language:

English

Subjects (All):

Finite groups.

Physical Description:

1 online resource (473 p.)

Edition:

1st ed.

Place of Publication:

Providence : American Mathematical Society, 1974.

Language Note:

English

Contents:

""TABLE OF CONTENTS""; ""INTRODUCTION""; ""PART I: SOLVABLE 2-LOCAL SUBGROUPS""; ""1. Introduction""; ""2. The minimal counterexample""; ""3. Odd order groups acting on 2-groups""; ""4. The local subgroups of G""; ""5. The structure of O[sub(2)(M)""; ""6. The case C[sub(R)](B) / 1""; ""7. Proof of Theorem A""; ""PART II: 2-CONSTRAINED 2-LOCAL SUBGROUPS""; ""1. Introduction""; ""2. The automorphism groups of certain 2-groups""; ""3. Theorem B, the GL(3,2) case""; ""4. Theorem B, the A[sub(5)]case""; ""5. Theorems C and D, initial reduction""; ""6. Theorems C and D, the A[sub(5)] case""

""5. The normal four subgroup case""""6. The cyclic case""; ""7. The maximal class case""; ""PART V: CENTRAL INVOLUTIONS WITH NON 2-CONSTRAINED CENTRALIZERS""; ""1. Introduction""; ""2. Initial reductions""; ""3. Theorem A; the wreathed case""; ""4. Preliminary results""; ""5. Maximal elementary abelian 2-subgroups""; ""6. Fusion of involutions""; ""7. Theorem A; the dihedral and quasi-dihedral cases""; ""PART VI: A CHARACTERIZATION OF THE GROUP M[sub(12)]""; ""1. Introduction""; ""2. 2-groups and their automorphism groups""; ""3. Some 2-groups associated with Aut(Z[sub(4)] x Z[sub(4)])""

""4. Initial reductions""""5. Elimination of the rank 3 case""; ""6. The major reduction""; ""7. The non-dihedral case""; ""8. The noncyclic case""; ""9. The structure of O[sub(2)](M)""; ""10. The structure of S""

Notes:

Description based upon print version of record.

Bibliography: pages 461-464.

Description based on print version record.

ISBN:

0-8218-9947-3