Lie nilpotency indices of modular group algebras

V. Bovdi; J. B. Srivastava

doi:10.1142/S1005386710000040

Lie nilpotency indices of modular group algebras

V. Bovdi
, J. B. Srivastava

Research output: Contribution to journal › Article › peer-review

12 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 language	English
Pages (from-to)	17-26
Number of pages	10
Journal	Algebra Colloquium
Volume	17
Issue number	1
DOIs	https://doi.org/10.1142/S1005386710000040
Publication status	Published - Mar 2010
Externally published	Yes

Keywords

Group algebras
Lie dimension subgroups
Lie nilpotency index

ASJC Scopus subject areas

Algebra and Number Theory
Applied Mathematics

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10.1142/S1005386710000040

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AB - 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.

KW - Group algebras

KW - Lie dimension subgroups

KW - Lie nilpotency index

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UR - https://www.scopus.com/pages/publications/77951612160#tab=citedBy

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JO - Algebra Colloquium

JF - Algebra Colloquium

IS - 1

ER -

Lie nilpotency indices of modular group algebras

Abstract

Keywords

ASJC Scopus subject areas

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