Lie nilpotency indices of modular group algebras

V. Bovdi, J. B. Srivastava

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

Let K be a field of positive characteristic p and KG the group algebra of a group G. It is known that if KG is Lie nilpotent, then its upper (or lower) Lie nilpotency index is at most |G′| + 1, where |G′| is the order of the commutator subgroup. The class of groups G for which these indices are maximal or almost maximal has already been determined. Here we determine G for which upper (or lower) Lie nilpotency index is the next highest possible.

Original languageEnglish
Pages (from-to)17-26
Number of pages10
JournalAlgebra Colloquium
Volume17
Issue number1
DOIs
Publication statusPublished - Mar 2010
Externally publishedYes

Keywords

  • Group algebras
  • Lie dimension subgroups
  • Lie nilpotency index

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Applied Mathematics

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