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Groups of prime power order. Volume 3 /
This is the third volume of a comprehensive and elementary treatment of finite p-group theory. Topics covered in this volume: (a) impact of minimal nonabelian subgroups on the structure of p-groups, (b) classification of groups all of whose nonnormal subgroups have the same order, (c) degrees of irr...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin :
De Gruyter,
2011.
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| Colección: | De Gruyter expositions in mathematics ;
56. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- List of definitions and notations; Preface; Prerequisites from Volumes 1 and 2; 93 Nonabelian 2-groups all of whose minimal nonabelian subgroups are metacyclic and have exponent 4; 94 Nonabelian 2-groups all of whose minimal nonabelian subgroups are nonmetacyclic and have exponent 4; 95 Nonabelian 2-groups of exponent 2e which have no minimal nonabelian subgroups of exponent 2e; 96 Groups with at most two conjugate classes of nonnormal subgroups; 97 p-groups in which some subgroups are generated by elements of order p
- 98 Nonabelian 2-groups all of whose minimal nonabelian subgroups are isomorphic to M2n+1, n? 3 fixed99 2-groups with sectional rank at most 4; 100 2-groups with exactly one maximal subgroup which is neither abelian nor minimal nonabelian; 101 p-groups G with p > 2 and d(G) = 2 having exactly one maximal subgroup which is neither abelian nor minimal nonabelian; 102 p-groups G with p > 2 and d(G) > 2 having exactly one maximal subgroup which is neither abelian nor minimal nonabelian; 103 Some results of Jonah and Konvisser
- 104 Degrees of irreducible characters of p-groups associated with finite algebras105 On some special p-groups; 106 On maximal subgroups of two-generator 2-groups; 107 Ranks of maximal subgroups of nonmetacyclic two-generator 2-groups; 108 p-groups with few conjugate classes of minimal nonabelian subgroups; 109 On p-groups with metacyclic maximal subgroup without cyclic subgroup of index p; 110 Equilibrated p-groups; 111 Characterization of abelian and minimal nonabelian groups; 112 Non-Dedekindian p-groups all of whose nonnormal subgroups have the same order
- 113 The class of 2-groups in 70 is not bounded114 Further counting theorems; 115 Finite p-groups all of whose maximal subgroups except one are extraspecial; 116 Groups covered by few proper subgroups; 117 2-groups all of whose nonnormal subgroups are either cyclic or of maximal class; 118 Review of characterizations of p-groups with various minimal nonabelian subgroups; 119 Review of characterizations of p-groups of maximal class; 120 Nonabelian 2-groups such that any two distinct minimal nonabelian subgroups have cyclic intersection; 121 p-groups of breadth 2
- 122 p-groups all of whose subgroups have normalizers of index at most p123 Subgroups of finite groups generated by all elements in two shortest conjugacy classes; 124 The number of subgroups of given order in a metacyclic p-group; 125 p-groups G containing a maximal subgroup H all of whose subgroups are G-invariant; 126 The existence of p-groups G1 < G such that Aut(G1) ? Aut(G); 127 On 2-groups containing a maximal elementary abelian subgroup of order 4; 128 The commutator subgroup of p-groups with the subgroup breadth 1