03028nam 2200529 450 991078861630332120230213215333.00-8218-9947-3(CKB)3360000000464061(EBL)3113489(SSID)ssj0000973510(PQKBManifestationID)11948251(PQKBTitleCode)TC0000973510(PQKBWorkID)10961031(PQKB)11589630(MiAaPQ)EBC3113489(RPAM)4569141(EXLCZ)99336000000046406120740612d1974 uy| 0engur|n|---|||||txtccrFinite groups whose 2-subgroups are generated by at most 4 elements /[by] Daniel Gorenstein and Koichiro HaradaProvidence :American Mathematical Society,1974.1 online resource (473 p.)Memoirs of the American Mathematical Society ;number 147Description based upon print version of record.0-8218-1847-3 Bibliography: pages 461-464.""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""Memoirs of the American Mathematical Society ;no. 147.Finite groupsFinite groups.512/.2Gorenstein Daniel42741Harada Koichiro1941-MiAaPQMiAaPQMiAaPQBOOK9910788616303321Finite groups whose 2-subgroups are generated by at most 4 elements3796210UNINA