| Description |
1 online resource (410 pages). |
|
text file |
| Series |
De Gruyter Expositions in Mathematics Ser. ; v. 65
|
|
De Gruyter Expositions in Mathematics Ser.
|
| Contents |
Intro; Contents; List of definitions and notations; Preface; 257 Nonabelian p-groups with exactly one minimal nonabelian subgroup of exponent> p; 258 2-groups with some prescribed minimal nonabelian subgroups; 259 Nonabelian p-groups, p> 2, all of whose minimal nonabelian subgroups are isomorphic to Mp3; 260 p-groups with many modular subgroups Mpn; 261 Nonabelian p-groups of exponent> p with a small number of maximal abelian subgroups of exponent> p; 262 Nonabelian p-groups all of whose subgroups are powerful. |
|
263 Nonabelian 2-groups G with CG(x) ≤ H for all H ∈ Γ1 and x ∈ H − Z(G) 264 Nonabelian 2-groups of exponent ≥ 16 all of whose minimal nonabelian subgroups, except one, have order 8; 265 p-groups all of whose regular subgroups are either absolutely regular or of exponent p; 266 Nonabelian p-groups in which any two distinct minimal nonabelian subgroups with a nontrivial intersection are non-isomorphic; 267 Thompson's A × B lemma; 268 On automorphisms of some p-groups; 269 On critical subgroups of p-groups. |
|
270 p-groups all of whose Ak-subgroups for a fixed k> 1 are metacyclic 271 Two theorems of Blackburn; 272 Nonabelian p-groups all of whose maximal abelian subgroups, except one, are either cyclic or elementary abelian; 273 Nonabelian p-groups all of whose noncyclic maximal abelian subgroups are elementary abelian; 274 Non-Dedekindian p-groups in which any two nonnormal subgroups normalize each other; 275 Nonabelian p-groups with exactly p normal closures of minimal nonabelian subgroups; 276 2-groups all of whose maximal subgroups, except one, are Dedekindian. |
|
277 p-groups with exactly two conjugate classes of nonnormal maximal cyclic subgroups 278 Nonmetacyclic p-groups all of whose maximal metacyclic subgroups have index p; 279 Subgroup characterization of some p-groups of maximal class and close to them; 280 Nonabelian p-groups all of whose maximal subgroups, except one, are minimal nonmetacyclic; 281 Nonabelian p-groups in which any two distinct minimal nonabelian subgroups have a cyclic intersection; 282 p-groups with large normal closures of nonnormal subgroups; 283 Nonabelian p-groups with many cyclic centralizers. |
|
284 Nonabelian p-groups, p> 2, of exponent> p2 all of whose minimal nonabelian subgroups are of order p3 285 A generalization of Lemma 57.1; 286 Groups ofexponent p with many normal subgroups; 287 p-groups in which the intersection of any two nonincident subgroups is normal; 288 Nonabelian p-groups in which for every minimal nonabelian M M(x) = Z(M); 289 Non-Dedekindian p-groups all of whose maximal nonnormal subgroups are conjugate. |
| Note |
290 Non-Dedekindian p-groups G with a noncyclic proper subgroup H such that each subgroup which is nonincident with H is normal in G. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Finite groups.
|
|
Finite groups. |
|
Group theory.
|
|
Group theory. |
| Genre/Form |
Electronic books.
|
| Added Author |
Janko, Zvonimir.
|
| Other Form: |
Print version: Berkovich, Yakov G. Yakov Berkovich; Zvonimir Janko: Groups of Prime Power Order. Volume 6. Berlin/Boston : De Gruyter, Inc., ©2018 9783110530971 |
| ISBN |
3110533146 |
|
9783110533149 (electronic book) |
|
