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Preliminaries on p-Groups

  • Inder Bir Singh Passi
  • Mahender Singh
  • Manoj Kumar Yadav
Chapter
Part of the Springer Monographs in Mathematics book series (SMM)

Abstract

This chapter is a collection of some basic results in the theory of p-groups. Beginning with central series of groups, we investigate regular p-groups and present some numerical results on p-groups with large centers. We then present a generalization of a theorem of Gaschütz, and conlude the chapter with a quick review of pro-p-groups and coclass graphs.

Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  • Inder Bir Singh Passi
    • 1
  • Mahender Singh
    • 2
  • Manoj Kumar Yadav
    • 3
  1. 1.Centre for Advanced Study in MathematicsPanjab UniversityChandigarhIndia
  2. 2.Department of Mathematical SciencesIndian Institute of Science Education and Research MohaliSAS NagarIndia
  3. 3.School of MathematicsHarish-Chandra Research Institute HBNIJhunsi AllahabadIndia

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