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Groups of Prime Power Order. Volume 3, PDF eBook

Groups of Prime Power Order. Volume 3 PDF

Part of the De Gruyter Expositions in Mathematics series

PDF

Please note: eBooks can only be purchased with a UK issued credit card and all our eBooks (ePub and PDF) are DRM protected.

Description

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.

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