Group algebras whose unit group is locally nilpotent

V. Bovdi

doi:10.1017/S1446788719000557

Group algebras whose unit group is locally nilpotent

V. Bovdi

Department of Mathematical Sciences

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

3 Citations (Scopus)

Abstract

We present a complete list of groups and fields for which: (i) the group of normalized units of the group algebra is locally nilpotent; (ii) the set of nontrivial nilpotent elements of is finite and nonempty, and is an Engel group.

Original language	English
Pages (from-to)	17-23
Number of pages	7
Journal	Journal of the Australian Mathematical Society
Volume	109
Issue number	1
DOIs	https://doi.org/10.1017/S1446788719000557
Publication status	Published - Aug 1 2020

Keywords

Engel group
Group algebra
Locally nilpotent group
Unit group

ASJC Scopus subject areas

Mathematics(all)

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10.1017/S1446788719000557

Cite this

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title = "Group algebras whose unit group is locally nilpotent",

abstract = "We present a complete list of groups and fields for which: (i) the group of normalized units of the group algebra is locally nilpotent; (ii) the set of nontrivial nilpotent elements of is finite and nonempty, and is an Engel group.",

keywords = "Engel group, Group algebra, Locally nilpotent group, Unit group",

author = "V. Bovdi",

note = "Funding Information: This work was supported by the UAEU UPAR Grant G00002160. {\textcopyright}c 2020 Australian Mathematical Publishing Association Inc. Publisher Copyright: {\textcopyright} 2020 Australian Mathematical Publishing Association Inc.",

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doi = "10.1017/S1446788719000557",

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KW - Unit group

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Group algebras whose unit group is locally nilpotent

Abstract

Keywords

ASJC Scopus subject areas

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