Characterization of nilpotent Lie algebras of breadth 3 over finite fields of odd characteristic

Journal article

Authors/Editors

Strategic Research Themes

Publication Details

Author list: Sriwongsa S, Wiboonton K, Khuhirun B

Publisher: Elsevier

Publication year: 2021

Journal: Journal of Algebra (0021-8693)

Volume number: 586

Start page: 935

End page: 972

Number of pages: 38

ISSN: 0021-8693

eISSN: 1090-266X

URL: https://www.sciencedirect.com/science/article/abs/pii/S0021869321003756

Languages: English-Great Britain (EN-GB)

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Abstract

In this paper, we give a characterization of finite-dimensional nilpotent Lie algebras of breadth 3 over finite fields of odd characteristic. This characterization parallels to the one for finite p-groups of breadth 3 given earlier in [5]. (C) 2021 Elsevier Inc. All rights reserved.

Keywords

Breadth, Finite fields, Nilpotent Lie algebras