LEADER 03028nam 2200529 450 001 9910788616303321 005 20230213215333.0 010 $a0-8218-9947-3 035 $a(CKB)3360000000464061 035 $a(EBL)3113489 035 $a(SSID)ssj0000973510 035 $a(PQKBManifestationID)11948251 035 $a(PQKBTitleCode)TC0000973510 035 $a(PQKBWorkID)10961031 035 $a(PQKB)11589630 035 $a(MiAaPQ)EBC3113489 035 $a(RPAM)4569141 035 $a(EXLCZ)993360000000464061 100 $a20740612d1974 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFinite groups whose 2-subgroups are generated by at most 4 elements /$f[by] Daniel Gorenstein and Koichiro Harada 210 1$aProvidence :$cAmerican Mathematical Society,$d1974. 215 $a1 online resource (473 p.) 225 1 $aMemoirs of the American Mathematical Society ;$vnumber 147 300 $aDescription based upon print version of record. 311 $a0-8218-1847-3 320 $aBibliography: pages 461-464. 327 $a""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"" 327 $a""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)])"" 327 $a""4. Initial reductions""""5. Elimination of the rank 3 case""; ""6. The major reduction""; ""7. The non-dihedral case""; ""8. The noncyclic case""; ""9. The structure of O[sub(2)](M)""; ""10. The structure of S"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 147. 606 $aFinite groups 615 0$aFinite groups. 676 $a512/.2 700 $aGorenstein$b Daniel$042741 702 $aHarada$b Koichiro$f1941- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788616303321 996 $aFinite groups whose 2-subgroups are generated by at most 4 elements$93796210 997 $aUNINA