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Groups of Prime Power Order. Volume 3

by Yakov Berkovich , Zvonimir Janko
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₹31,350.00
Original price ₹31,350.00
Original price ₹31,350.00
₹31,350.00
Current price ₹31,350.00

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Book cover type: Hardcover
  • ISBN13: 9783110207170
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: de Gruyter
  • Publisher Imprint: de Gruyter
  • Publication Date:
  • Pages: 664
  • Original Price: USD 300.0
  • Language: English
  • Edition: N/A
  • Item Weight: 1248 grams
  • BISAC Subject(s): Group Theory

This is the third volume of a comprehensive and elementary treatment of finite p-group theory. Topics covered in this volume:

  • impact of minimal nonabelian subgroups on the structure of p-groups,
  • classification of groups all of whose nonnormal subgroups have the same order,
  • degrees of irreducible characters of p-groups associated with finite algebras,
  • groups covered by few proper subgroups,
  • p-groups of element breadth 2 and subgroup breadth 1,
  • exact number of subgroups of given order in a metacyclic p-group,
  • soft subgroups,
  • p-groups with a maximal elementary abelian subgroup of order p2,
  • p-groups generated by certain minimal nonabelian subgroups,
  • p-groups in which certain nonabelian subgroups are 2-generator.

The book contains many dozens of original exercises (with difficult exercises being solved) and a list of about 900 research problems and themes.

Yakov Berkovich, University of Haifa, Israel; Zvonimir Janko, Heidelberg University, Germany.

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