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MARC Lista (tabellare)
Finite groups whose 2-subgroups are generated by at most 4 elements / / [by] Daniel Gorenstein and Koichiro Harada
Finite groups whose 2-subgroups are generated by at most 4 elements / / [by] Daniel Gorenstein and Koichiro Harada
Autore Gorenstein Daniel
Pubbl/distr/stampa Providence : , : American Mathematical Society, , 1974
Descrizione fisica 1 online resource (473 p.)
Disciplina 512/.2
Collana Memoirs of the American Mathematical Society
Soggetto topico Finite groups
Soggetto genere / forma Electronic books.
ISBN 0-8218-9947-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
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""
Record Nr. UNINA-9910478888503321
Gorenstein Daniel  
Providence : , : American Mathematical Society, , 1974
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Finite groups whose 2-subgroups are generated by at most 4 elements / / [by] Daniel Gorenstein and Koichiro Harada
Finite groups whose 2-subgroups are generated by at most 4 elements / / [by] Daniel Gorenstein and Koichiro Harada
Autore Gorenstein Daniel
Pubbl/distr/stampa Providence : , : American Mathematical Society, , 1974
Descrizione fisica 1 online resource (473 p.)
Disciplina 512/.2
Collana Memoirs of the American Mathematical Society
Soggetto topico Finite groups
ISBN 0-8218-9947-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
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""
Record Nr. UNINA-9910788616303321
Gorenstein Daniel  
Providence : , : American Mathematical Society, , 1974
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Finite groups whose 2-subgroups are generated by at most 4 elements / / [by] Daniel Gorenstein and Koichiro Harada
Finite groups whose 2-subgroups are generated by at most 4 elements / / [by] Daniel Gorenstein and Koichiro Harada
Autore Gorenstein Daniel
Pubbl/distr/stampa Providence : , : American Mathematical Society, , 1974
Descrizione fisica 1 online resource (473 p.)
Disciplina 512/.2
Collana Memoirs of the American Mathematical Society
Soggetto topico Finite groups
ISBN 0-8218-9947-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
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""
Record Nr. UNINA-9910828787003321
Gorenstein Daniel  
Providence : , : American Mathematical Society, , 1974
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui