Name: Groups of Prime Power Order. Volume 2 (en Inglés)
SKU: 2107694
Price: 240.27 USD
Availability: InStock
Author: Berkovich, Yakov ; Janko, Zvonimir
ISBN: 9783110204193

portada Groups of Prime Power Order. Volume 2 (en Inglés)

Groups of Prime Power Order. Volume 2 (en Inglés)

Formato

Libro Físico

Autor

Yakov Berkovich

Zvonimir Janko

Editorial

de Gruyter

Idioma

Inglés

N° páginas

611

Encuadernación

Tapa Dura

Dimensiones

24.4x17x3.3 cm

Peso

1.17 kg.

ISBN

3110204193

ISBN13

9783110204193

Categorías

Álgebra
Grupos y teoría de grupos

Groups of Prime Power Order. Volume 2 (en Inglés)

Yakov Berkovich (Autor) · Zvonimir Janko (Autor) · de Gruyter · Tapa Dura

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Reseña del libro "Groups of Prime Power Order. Volume 2 (en Inglés)"

This is the second of three volumes devoted to elementary finite p-group theory. Similar to the first volume, hundreds of important results are analyzed and, in many cases, simplified. Important topics presented in this monograph include: (a) classification of p-groups all of whose cyclic subgroups of composite orders are normal, (b) classification of 2-groups with exactly three involutions, (c) two proofs of Ward's theorem on quaternion-free groups, (d) 2-groups with small centralizers of an involution, (e) classification of 2-groups with exactly four cyclic subgroups of order 2n > 2, (f) two new proofs of Blackburn's theorem on minimal nonmetacyclic groups, (g) classification of p-groups all of whose subgroups of index p2 are abelian, (h) classification of 2-groups all of whose minimal nonabelian subgroups have order 8, (i) p-groups with cyclic subgroups of index p2 are classified. This volume contains hundreds of original exercises (with all difficult exercises being solved) and an extended list of about 700 open problems. The book is based on Volume 1, and it is suitable for researchers and graduate students of mathematics with a modest background on algebra.