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Groups Without Divisibility Property

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

Abstract

We conclude the monograph by showing the existence of finite p-groups without Divisibility Property. This is a recent work of González-Sánchez and Jaikin-Zapirain [46]. Uniform pro-p-groups, uniform \(\mathbb {Z}_p\)-Lie algebras, continuous cohomology, and existence of a 41-dimensional \(\mathbb {Q}\)-Lie algebra with one dimensional center and admitting only inner derivations, are the main tools in this work.

Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  • Inder Bir Singh Passi
    • 1
    Email author
  • 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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