Yakov Berkovich

Groups of Prime Power Order. Volume 1 (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: De Gruyter
• Seitenzahl: 532
• Erscheinungstermin: 10. Dezember 2008
• Englisch
• ISBN-13: 9783110208221
• Artikelnr.: 44650286

Autorenporträt

Yakov Berkovich , University of Haifa, Israel.