Let $G$ be a $p-$group that have the finite presentation $F/R$($F$ is a free group of rank $d$); The $p-$multiplicator of $G$ is defined by $$ G^* = R/[F,R]R^p $$ Why $G^*$ in an elementary abelian $p -$group?
Many thanks.
2026-03-24 23:46:40.1774396000
Why is the $p-$multiplicator of a $p-$group is an elementary abelian $p -$group?
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