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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 |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin ; Boston :
De Gruyter,
©2016.
|
| Colección: | De Gruyter expositions in mathematics ;
61. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 072 | 7 | |a MAT |x 002040 |2 bisacsh | |
| 082 | 0 | 4 | |a 512/.23 |2 23 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Berkovich, I͡A. G., |d 1938- | |
| 245 | 1 | 0 | |a Groups of prime power order. |n Volume 4 / |c Yakov Berkovich and Zvonimir Janko ; edited by Victor P. Maslov [and 4 others]. |
| 260 | |a Berlin ; |a Boston : |b De Gruyter, |c ©2016. | ||
| 300 | |a 1 online resource (476 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 ; |v volume 61 | |
| 504 | |a Includes bibliographical references and indexes. | ||
| 588 | 0 | |a Online resource; title from digital title page (viewed on March 30, 2016). | |
| 500 | |a 165 p-groups G all of whose subgroups containing ∅G) as a subgroup of index p are minimal nonabelian | ||
| 505 | 0 | |a 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 | |
| 505 | 8 | |a 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 | |
| 505 | 8 | |a 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 | |
| 505 | 8 | |a 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 | |
| 505 | 8 | |a 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 | |
| 520 | |a 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 two sizes of conjugate classes p-central p-groups theorem of Kegel on nilpotence of H p-groups partitions of p-groups characterizations of Dedekindian groups norm of p-groups p-groups with 2-uniserial subgroups of small order The book also contains hundreds of original exercises and solutions and a comprehensive list of more than 500 open problems. This work is suitable for researchers and graduate students with a modest background in algebra. | ||
| 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 Algebra |x Intermediate. |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: |a Berkovich, Yakov G. |t Groups of Prime Power Order 4 : Volume 4. |d Berlin/Boston : De Gruyter, ©2015 |z 9783110281453 |
| 830 | 0 | |a De Gruyter expositions in mathematics ; |v 61. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1131257 |z Texto completo |
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