Groups of Prime Power Order. Volume 3

ebook ∣ De Gruyter Expositions in Mathematics

By Yakov Berkovich

cover image of Groups of Prime Power Order. Volume 3

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Format

ebook

ISBN

9783110207170

Series

De Gruyter Expositions in Mathematics

Author

Yakov Berkovich

Publisher

De Gruyter

Release

30 June 2011

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Subjects

Mathematics Nonfiction

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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.

    Format

    ebook

    ISBN

    9783110207170

    Series

    De Gruyter Expositions in Mathematics

    Author

    Yakov Berkovich

    Publisher

    De Gruyter

    Release

    30 June 2011

    Share

    Subjects

    Mathematics Nonfiction
    Groups of Prime Power Order. Volume 3