Finite groups whose 2-subgroups are generated by at most 4 elements / / [by] Daniel Gorenstein and Koichiro Harada
(Visualizza in formato marc)
(Visualizza in BIBFRAME)
| Autore: |
Gorenstein Daniel
|
| Titolo: |
Finite groups whose 2-subgroups are generated by at most 4 elements / / [by] Daniel Gorenstein and Koichiro Harada
|
| Pubblicazione: | Providence : , : American Mathematical Society, , 1974 |
| Descrizione fisica: | 1 online resource (473 p.) |
| Disciplina: | 512/.2 |
| Soggetto topico: | Finite groups |
| Soggetto genere / forma: | Electronic books. |
| Persona (resp. second.): | HaradaKoichiro <1941-> |
| Note generali: | Description based upon print version of record. |
| Nota di bibliografia: | Bibliography: pages 461-464. |
| Nota di contenuto: | ""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"" | |
| Titolo autorizzato: | Finite groups whose 2-subgroups are generated by at most 4 elements |
| ISBN: | 0-8218-9947-3 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910478888503321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; no. 147.