Modular group algebras whose group of unitary units is locally nilpotent

V. Bovdi

doi:10.1007/s44146-022-00037-8

Modular group algebras whose group of unitary units is locally nilpotent

V. Bovdi

Department of Mathematical Sciences

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

1 Citation (Scopus)

Abstract

We characterize those modular group algebras FG whose group of unitary units is locally nilpotent or nilpotent under the classical involution of FG. The main results of [19, 20] are trivial consequences of this note.

Original language	English
Pages (from-to)	571-576
Number of pages	6
Journal	Acta Scientiarum Mathematicarum
Volume	88
Issue number	3-4
DOIs	https://doi.org/10.1007/s44146-022-00037-8
Publication status	Published - Dec 2022

Keywords

16S34
20C05
20F19
20F45
Engel group
group algebra
locally nilpotent group
unitary group

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1007/s44146-022-00037-8

Cite this

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title = "Modular group algebras whose group of unitary units is locally nilpotent",

abstract = "We characterize those modular group algebras FG whose group of unitary units is locally nilpotent or nilpotent under the classical involution of FG. The main results of [19, 20] are trivial consequences of this note.",

keywords = "16S34, 20C05, 20F19, 20F45, Engel group, group algebra, locally nilpotent group, unitary group",

author = "V. Bovdi",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to University of Szeged.",

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AB - We characterize those modular group algebras FG whose group of unitary units is locally nilpotent or nilpotent under the classical involution of FG. The main results of [19, 20] are trivial consequences of this note.

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KW - 20C05

KW - 20F19

KW - 20F45

KW - Engel group

KW - group algebra

KW - locally nilpotent group

KW - unitary group

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ER -

Modular group algebras whose group of unitary units is locally nilpotent

Abstract

Keywords

ASJC Scopus subject areas

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