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Yakov Berkovich; Zvonimir Janko.

By: Contributor(s): Material type: TextTextSeries: De Gruyter Expositions in Mathematics SerPublication details: Berlin/Boston : De Gruyter, Inc., 2018.Description: 1 online resource (410 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 3110533146
  • 9783110533149
Subject(s): Additional physical formats: Print version:: Yakov Berkovich; Zvonimir Janko: Groups of Prime Power Order. Volume 6.DDC classification:
  • 512/.23 23
LOC classification:
  • QA177 .B47 2018
Online resources:
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.
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.
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eBook eBook e-Library EBSCO Mathematics Available
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Print version record.

880-01 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.

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.

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.

Added to collection customer.56279.3

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