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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 |
|---|---|
| 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 |
MARC
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| 100 | 1 | |a Berkovich, I͡A. G., |d 1938- | |
| 245 | 1 | 0 | |a Groups of prime power order. |n Volume 3 / |c Yakov Berkovich, Zvonimir Janko. |
| 260 | |a Berlin : |b De Gruyter, |c 2011. | ||
| 300 | |a 1 online resource (xxv, 639 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a De Gruyter expositions in mathematics, |x 0938-6572 ; |v 56 | |
| 490 | 0 | |a Groups of prime power order ; |v v. 3 | |
| 504 | |a Includes bibliographical references and indexes. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a 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 | |
| 505 | 8 | |a 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 | |
| 505 | 8 | |a 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 | |
| 505 | 8 | |a 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 | |
| 505 | 8 | |a 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 | |
| 520 | |a 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 irreducible characters of p-groups associated with finite algebras, (d) groups covered by few proper subgroups, (e) p-groups of element breadth 2 and subgroup breadth 1, (f) exact number of subgroups of given order in a metacyclic p-group, (g) soft subgroups, (h) p-groups with a maximal elementary abel. | ||
| 546 | |a English. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Finite groups. | |
| 650 | 0 | |a Group theory. | |
| 650 | 6 | |a Groupes finis. | |
| 650 | 6 | |a Théorie des groupes. | |
| 650 | 7 | |a MATHEMATICS |x Group Theory. |2 bisacsh | |
| 650 | 7 | |a Finite groups |2 fast | |
| 650 | 7 | |a Group theory |2 fast | |
| 700 | 1 | |a Janko, Zvonimir, |d 1932- | |
| 776 | 0 | 8 | |i Print version: |z 9783110207170 |
| 830 | 0 | |a De Gruyter expositions in mathematics ; |v 56. |x 0938-6572 | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=381766 |z Texto completo |
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