Strongly Lie nilpotent group algebras of index at most 8-Reference-Cited by-同舟云学术

Strongly Lie nilpotent group algebras of index at most 8

Published:2014-05-02 Issue:07 Volume:13 Page:1450044
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Chandra Harish¹,Sahai Meena¹

Affiliation:

1. Department of Mathematics and Astronomy, University of Lucknow, Lucknow, U.P. 226007, India

Abstract

Let K be a field of characteristic p > 0 and let G be an arbitrary group. In this paper, we classify group algebras KG which are strongly Lie nilpotent of index at most 8. We also show that for k ≤ 6, KG is strongly Lie nilpotent of index k if and only if it is Lie nilpotent of index k.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498814500443

Reference22 articles.

1. Lie-Nilpotency Indices of Group Algebras

2. Modular Group Algebras with Almost Maximal Lie Nilpotency Indices

3. GENERALIZED LIE NILPOTENT GROUP RINGS

4. Lie Properties of the Group Algebra and the Nilpotency Class of the Group of Units

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