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GROUP ALGEBRAS WHOSE UNIT GROUP IS LOCALLY NILPOTENT
Part of
V. BOVDI
Journal:

Journal of the Australian Mathematical Society / Volume 109 / Issue 1 / August 2020

Published online by Cambridge University Press:

07 May 2020, pp. 17-23

Print publication:

August 2020
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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.