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{ "item_title" : "Groups of Prime Power Order", "item_author" : [" Yakov Berkovich "], "item_description" : "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.", "item_img_path" : "https://covers3.booksamillion.com/covers/bam/3/11/020/418/3110204185_b.jpg", "price_data" : { "retail_price" : "340.00", "online_price" : "340.00", "our_price" : "340.00", "club_price" : "340.00", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
Groups of Prime Power Order|Yakov Berkovich

Groups of Prime Power Order

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Overview

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.

This item is Non-Returnable

Details

  • ISBN-13: 9783110204186
  • ISBN-10: 3110204185
  • Publisher: de Gruyter
  • Publish Date: November 2008
  • Dimensions: 9.61 x 6.69 x 1.13 inches
  • Shipping Weight: 2.3 pounds
  • Page Count: 532
  • Reading Level: Ages 22-22

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