Groups of Prime Power Order / Groups of Prime Power Order. Volume 1 - Yakov Berkovich

Groups of Prime Power Order / Groups of Prime Power Order. Volume 1

(Autor)

Buch | Hardcover
XX, 512 Seiten
2008
De Gruyter (Verlag)
978-3-11-020418-6 (ISBN)
210,00 inkl. MwSt
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.

Yakov Berkovich , University of Haifa, Israel.

Erscheint lt. Verlag 17.11.2008
Reihe/Serie De Gruyter Expositions in Mathematics ; 46
Groups of Prime Power Order ; Volume 1
Verlagsort Berlin/Boston
Sprache englisch
Maße 170 x 240 mm
Gewicht 998 g
Themenwelt Mathematik / Informatik Mathematik Allgemeines / Lexika
Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Arithmetik / Zahlentheorie
Schlagworte group theory • Group Theory; Order; Primes • Gruppentheorie • Hardcover, Softcover / Mathematik/Arithmetik, Algebra • HC/Mathematik/Arithmetik, Algebra • Order • Primes • Primzahl • Zyklische Ordnung
ISBN-10 3-11-020418-5 / 3110204185
ISBN-13 978-3-11-020418-6 / 9783110204186
Zustand Neuware
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