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

Yakov Berkovich (Autor)

Buch | Hardcover

XX, 512 Seiten

2008
De Gruyter (Verlag)
978-3-11-020418-6 (ISBN)

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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
Reihe/Serie	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