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GROUP ALGEBRAS WHOSE UNIT GROUP IS LOCALLY NILPOTENT
Published online by Cambridge University Press: 07 May 2020
Abstract
We present a complete list of groups $G$ and fields
$F$ for which: (i) the group of normalized units
$V(FG)$ of the group algebra
$FG$ is locally nilpotent; (ii) the set of nontrivial nilpotent elements of
$FG$ is finite and nonempty, and
$V(FG)$ is an Engel group.
- Type
- Research Article
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- Copyright
- © 2020 Australian Mathematical Publishing Association Inc.
Footnotes
This work was supported by the UAEU UPAR Grant G00002160.
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