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Group algebras with an Engel group of units

Published online by Cambridge University Press:  09 April 2009

A. Bovdi
Affiliation:
University of Debrecen, 4010 Debrecen, Hungary, e-mail: [email protected]
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Abstract

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Let F be a field of characteristic p and G a group containing at least one element of order p. It is proved that the group of units of the group algebra FG is a bounded Engel group if and only if FG is a bounded Engel algebra, and that this is the case if and only if G is nilpotent and has a normal subgroup H such that both the factor group G/H and the commutator subgroup H′ are finite p–groups.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2006

References

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