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Groups of prime power order (Record no. 46596)

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020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783110281477 (vol. 4)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783110295351 (vol. 5)
040 ## - CATALOGING SOURCE
Original cataloging agency UDJG
Language of cataloging rum
041 ## - LANGUAGE CODE
Language code of text/sound track or separate title eng
245 10 - TITLE STATEMENT
Title Groups of prime power order
Medium [online] /
Statement of responsibility, etc. Yakov G. Berkovich, Zvonimir Janko
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc. Berlin :
Name of publisher, distributor, etc. De Gruyter,
Date of publication, distribution, etc. 2016
300 ## - PHYSICAL DESCRIPTION
Extent 1 resursă online
-- (vol.)
300 ## - PHYSICAL DESCRIPTION
Extent 459 p. (vol. 4)
300 ## - PHYSICAL DESCRIPTION
Extent 413 p. (vol. 5)
490 ## - SERIES STATEMENT
Series statement De Gruyter Expositions in Mathematics,
Volume/sequential designation 61
490 ## - SERIES STATEMENT
Series statement De Gruyter Expositions in Mathematics,
Volume/sequential designation 62
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note vol. 4
Title Frontmatter
-- Contents
-- 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
-- § 158 On extraspecial normal subgroups of p-groups
-- § 159 2-groups all of whose cyclic subgroups A, B with A ∩ B ≠ {1} generate an abelian subgroup
-- § 160 p-groups, p > 2, all of whose cyclic subgroups A, B with A ∩ 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
-- § 165 p-groups G all of whose subgroups containing Φ(G) as a subgroup of index p are minimal nonabelian
-- § 166 A characterization of p-groups of class > 2 all of whose proper subgroups are of class ≤ 2
-- § 167 Nonabelian p-groups all of whose nonabelian subgroups contain the Frattini subgroup
-- § 168 p-groups with given intersections of certain subgroups
-- § 169 Nonabelian p-groups G with 〈A, B〉 minimal nonabelian for any two distinct maximal cyclic subgroups A, B of G
-- § 170 p-groups with many minimal nonabelian subgroups, 2
-- § 171 Characterizations of Dedekindian 2-groups
-- § 172 On 2-groups with small centralizers of elements
-- § 173 Nonabelian p-groups with exactly one noncyclic maximal abelian subgroup
-- § 174 Classification of p-groups all of whose nonnormal subgroups are cyclic or abelian of type (p, p)
-- § 175 Classification of p-groups all of whose nonnormal subgroups are cyclic, abelian of type (p, p) or ordinary quaternion
-- § 176 Classification of p-groups with a cyclic intersection of any two distinct conjugate subgroups
-- § 177 On the norm of a p-group
-- § 178 p-groups whose character tables are strongly equivalent to character tables of metacyclic p-groups, and some related topics
-- § 179 p-groups with the same numbers of subgroups of small indices and orders as in a metacyclic p-group
-- § 180 p-groups all of whose noncyclic abelian subgroups are normal
-- § 181 p-groups all of whose nonnormal abelian subgroups lie in the center of their normalizers
-- § 182 p-groups with a special maximal cyclic subgroup
-- § 183 p-groups generated by any two distinct maximal abelian subgroups
-- § 184 p-groups in which the intersection of any two distinct conjugate subgroups is cyclic or generalized quaternion
-- § 185 2-groups in which the intersection of any two distinct conjugate subgroups is either cyclic or of maximal class
-- § 186 p-groups in which the intersection of any two distinct conjugate subgroups is either cyclic or abelian of type (p, p)<br/>
-- § 187 p-groups in which the intersection of any two distinct conjugate cyclic subgroups is trivial
-- § 188 p-groups with small subgroups generated by two conjugate elements
-- § 189 2-groups with index of every cyclic subgroup in its normal closure ≤ 4
-- Appendix 45 Varia II
-- Appendix 46 On Zsigmondy primes
-- Appendix 47 The holomorph of a cyclic 2-group
-- Appendix 48 Some results of R. van der Waall and close to them
-- Appendix 49 Kegel’s theorem on nilpotence of Hp-groups
-- Appendix 50 Sufficient conditions for 2-nilpotence
-- Appendix 51 Varia III
-- Appendix 52 Normal complements for nilpotent Hall subgroups
-- Appendix 53 p-groups with large abelian subgroups and some related results
-- Appendix 54 On Passman’s Theorem 1.25 for p > 2
-- Appendix 55 On p-groups with the cyclic derived subgroup of index p2
-- Appendix 56 On finite groups all of whose p-subgroups of small orders are normal
-- Appendix 57 p-groups with a 2-uniserial subgroup of order p and an abelian subgroup of type (p, p)
-- Research problems and themes IV
-- Bibliography
-- Author index
-- Subject index
-- Backmatter
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note vol. 5
Title Frontmatter
-- Contents
-- List of definitions and notations
-- Preface
-- § 190. On p-groups containing a subgroup of maximal class and index p
-- § 191. p-groups G all of whose nonnormal subgroups contain G′ in its normal closure
-- § 192. p-groups with all subgroups isomorphic to quotient groups
-- § 193. Classification of p-groups all of whose proper subgroups are s-self-dual
-- § 194. p-groups all of whose maximal subgroups, except one, are s-self-dual
-- § 195. Nonabelian p-groups all of whose subgroups are q-self-dual
-- § 196. A p-group with absolutely regular normalizer of some subgroup
-- § 197. Minimal non-q-self-dual 2-groups
-- § 198. Nonmetacyclic p-groups with metacyclic centralizer of an element of order p
-- § 199. p-groups with minimal nonabelian closures of all nonnormal abelian subgroups
-- § 200. The nonexistence of p-groups G all of whose minimal nonabelian subgroups intersect Z(G) trivially
-- § 201. Subgroups of order pp and exponent p in p-groups with an irregular subgroup of maximal class and index > p
-- § 202. p-groups all of whose A2-subgroups are metacyclic
-- § 203. Nonabelian p-groups G in which the center of each nonabelian subgroup is contained in Z(G)
-- § 204. Theorem of R. van der Waal on p-groups with cyclic derived subgroup, p > 2
-- § 205. Maximal subgroups of A2-groups
-- § 206. p-groups all of whose minimal nonabelian subgroups are pairwise nonisomorphic
-- § 207. Metacyclic groups of exponent pe with a normal cyclic subgroup of order pe
-- § 208. Non-Dedekindian p-groups all of whose nonnormal maximal cyclic subgroups are maximal abelian
-- § 209. p-groups with many minimal nonabelian subgroups, 3
-- § 210. A generalization of Dedekindian groups<br/>
-- § 211. Nonabelian p-groups generated by the centers of their maximal subgroups
-- § 212. Nonabelian p-groups generated by any two nonconjugate maximal abelian subgroups
-- § 213. p-groups with A ∩ B being maximal in A or B for any two nonincident subgroups A and B
-- § 214. Nonabelian p-groups with a small number of normal subgroups
-- § 215. Every p-group of maximal class and order ≥ pp, p > 3, has exactly p two-generator nonabelian subgroups of index p
-- § 216. On the theorem of Mann about p-groups all of whose nonnormal subgroups are elementary abelian
-- § 217. Nonabelian p-groups all of whose elements contained in any minimal nonabelian subgroup are of breadth < 2
-- § 218. A nonabelian two-generator p-group in which any nonabelian epimorphic image has the cyclic center
-- § 219. On “large” elementary abelian subgroups in p-groups of maximal class
-- § 220. On metacyclic p-groups and close to them
-- § 221. Non-Dedekindian p-groups in which normal closures of nonnormal abelian subgroups have cyclic centers
-- § 222. Characterization of Dedekindian p-groups, 2
-- § 223. Non-Dedekindian p-groups in which the normal closure of any nonnormal cyclic subgroup is nonabelian
-- § 224. p-groups in which the normal closure of any cyclic subgroup is abelian
-- § 225. Nonabelian p-groups in which any s (a fixed s ∈ {3, . . . , p + 1}) pairwise noncommuting elements generate a group of maximal class
-- § 226. Noncyclic p-groups containing only one proper normal subgroup of a given order
-- § 227. p-groups all of whose minimal nonabelian subgroups have cyclic centralizers
-- § 228. Properties of metahamiltonian p-groups
-- § 229. p-groups all of whose cyclic subgroups of order ≥ p3 are normal
-- § 230. Nonabelian p-groups of exponent pe all of whose cyclic subgroups of order pe are normal
-- § 231. p-groups which are not generated by their nonnormal subgroups
-- § 232. Nonabelian p-groups in which any nonabelian subgroup contains its centralizer
-- § 233. On monotone p-groups
-- § 234. p-groups all of whose maximal nonnormal abelian subgroups are conjugate
-- § 235. On normal subgroups of capable 2-groups
-- § 236. Non-Dedekindian p-groups in which the normal closure of any cyclic subgroup has a cyclic center
-- § 237. Noncyclic p-groups all of whose nonnormal maximal cyclic subgroups are self-centralizing
-- § 238. Nonabelian p-groups all of whose nonabelian subgroups have a cyclic center
-- § 239. p-groups G all of whose cyclic subgroups are either contained in Z(G) or avoid Z(G)
-- § 240. p-groups G all of whose nonnormal maximal cyclic subgroups are conjugate
-- § 241. Non-Dedekindian p-groups with a normal intersection of any two nonincident subgroups
-- § 242. Non-Dedekindian p-groups in which the normal closures of all nonnormal subgroups coincide
-- § 243. Nonabelian p-groups G with Φ(H) = H′ for all nonabelian H ≤ G
-- § 244. p-groups in which any two distinct maximal nonnormal subgroups intersect in a subgroup of order ≤ p
-- § 245. On 2-groups saturated by nonabelian Dedekindian subgroups
-- § 246. Non-Dedekindian p-groups with many normal subgroups
-- § 247. Nonabelian p-groups all of whose metacyclic sections are abelian
-- § 248. Non-Dedekindian p-groups G such that HG = HZ(G) for all nonnormal H < G
-- § 249. Nonabelian p-groups G with A ∩ B = Z(G) for any two distinct maximal abelian subgroups A and B
-- § 250. On the number of minimal nonabelian subgroups in a nonabelian p-group
-- § 251. p-groups all of whose minimal nonabelian subgroups are isolated
-- § 252. Nonabelian p-groups all of whose maximal abelian subgroups are isolated
-- § 253. Maximal abelian subgroups of p-groups, 2
-- § 254. On p-groups with many isolated maximal abelian subgroups
-- § 255. Maximal abelian subgroups of p-groups, 3
-- § 256. A problem of D. R. Hughes for 3-groups
-- Appendix 58 – Appendix 109
-- Research problems and themes V
-- Bibliography
-- Author index
-- Subject index
-- Backmatter
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