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Groups of Prime Power Order. Volume 1

by Yakov Berkovich
Save 17% Save 17%
Current price ₹22,057.00
Original price ₹26,469.00
Original price ₹26,469.00
Original price ₹26,469.00
(-17%)
₹22,057.00
Current price ₹22,057.00

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Book cover type: Hardcover
  • ISBN13: 9783110204186
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: de Gruyter
  • Publisher Imprint: de Gruyter
  • Publication Date:
  • Pages: 532
  • Original Price: GBP 173.5
  • Language: English
  • Edition: N/A
  • Item Weight: 1044 grams
  • BISAC Subject(s): Group Theory

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.

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