J. Aust. Math. Soc.
80 (2006), 173178

Group algebras with an Engel group of units


Abstract

Let
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
is a bounded Engel group if and only if
is a bounded Engel algebra, and that this is the
case if and only if
is nilpotent and has a normal subgroup
such that both the factor group
and the commutator subgroup
are finite
pgroups.

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