ISBN: 9783110208221

This is the first of three volumes of a comprehensive and elementary treatment of finite p -group theory. Topics covered in this monograph include: (a) counting of subgroups, with almost … Mehr…

This is the first of three volumes of a comprehensive and elementary treatment of finite p -group theory. Topics covered in this monograph include: (a) counting of subgroups, with almost all main counting theorems being proved, (b) regular p -groups and regularity criteria, (c) p -groups of maximal class and their numerous characterizations, (d) characters of p -groups, (e) p -groups with large Schur multiplier and commutator subgroups, (f) ( p ?1)-admissible Hall chains in normal subgroups, (g) powerful p -groups, (h) automorphisms of p -groups, (i) p -groups all of whose nonnormal subgroups are cyclic, (j) Alperin's problem on abelian subgroups of small index.The book is suitable for researchers and graduate students of mathematics with a modest background on algebra. It also contains hundreds of original exercises (with difficult exercises being solved) and a comprehensive list of about 700 open problems. De Gruyter Group Theory 9783110204186 DE,GB,US,ES,IT,FR,MX English Mathematics, De Gruyter<

ISBN: 9783110208221

This is the first of three volumes of a comprehensive and elementary treatment of finite p-group theory. Topics covered in this monograph include: (a) counting of subgroups, with almost a… Mehr…

This is the first of three volumes of a comprehensive and elementary treatment of finite p-group theory. Topics covered in this monograph include: (a) counting of subgroups, with almost all main counting theorems being proved, (b) regular p-groups and regularity criteria, (c) p-groups of maximal class and their numerous characterizations, (d) characters of p-groups, (e) p-groups with large Schur multiplier and commutator subgroups, (f) (p1)-admissible Hall chains in normal subgroups, (g) powerful p-groups, (h) automorphisms of p-groups, (i) p-groups all of whose nonnormal subgroups are cyclic, (j) Alperin's problem on abelian subgroups of small index.The book is suitable for researchers and graduate students of mathematics with a modest background on algebra. It also contains hundreds of original exercises (with difficult exercises being solved) and a comprehensive list of about 700 open problems.; PDF; Scientific, Technical and Medical > Mathematics > Groups & group theory, De Gruyter<

ISBN: 3110208229

Yakov Berkovich; Zvonimir Janko: Groups of Prime Power Order. Volume 1 ab 164.99 EURO Medien > Bücher, [PU: de Gruyter, Berlin/New York]

ISBN: 9783110208221

Mathematics De Gruyter Group Theory 9783110204186 DE,GB,US English, De Gruyter

2008, ISBN: 9783110208221

eBooks, eBook Download (PDF), [PU: De Gruyter], [ED: 1], De Gruyter, 2008