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Groups of prime power order. Volume 4 /
This is the fourth volume of a comprehensive and elementary treatment of finite p-group theory. As in the previous volumes, minimal nonabelian p-groups play an important role. Topics covered in this volume include: subgroup structure of metacyclic p-groups Ishikawa's theorem on p-groups with tw...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin ; Boston :
De Gruyter,
©2016.
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| Colección: | De Gruyter expositions in mathematics ;
61. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Content ; List of definitions and notations ; Preface ; 145 p-groups all of whose maximal subgroups, except one, have derived subgroup of order ≤ p; 146 p-groups all of whose maximal subgroups, except one, have cyclic derived subgroups ; 147 p-groups with exactly two sizes of conjugate classes
- 148 Maximal abelian and minimal nonabelian subgroups of some finite two-generator p-groups especially metacyclic 149 p-groups with many minimal nonabelian subgroups ; 150 The exponents of finite p-groups and their automorphism groups
- 151 p-groups all of whose nonabelian maximal subgroups have the largest possible center 152 p-central p-groups ; 153 Some generalizations of 2-central 2-groups ; 154 Metacyclic p-groups covered by minimal nonabelian subgroups ; 155 A new type of Thompson subgroup
- 156 Minimal number of generators of a p-group, p> 2 157 Some further properties of p-central p-groups ; 158 On extraspecial normal subgroups of p-groups ; 159 2-groups all of whose cyclic subgroups A, B with A Â"B `"{1} generate an abelian subgroup; 160 p-groups, p> 2, all of whose cyclic subgroups A, B with A Â"B `"{1} generate an abelian subgroup
- 161 p-groups where all subgroups not contained in the Frattini subgroup are quasinormal 162 The centralizer equality subgroup in a p-group ; 163 Macdonald's theorem on p-groups all of whose proper subgroups are of class at most 2 ; 164 Partitions and Hp-subgroups of a p-group