Let $F$ be an infinite field of characteristic different from $2$. Let $G$ be a torsion group having an involution $\ast$, and consider the units of the group ring $FG$ that are symmetric with respect to the induced involution. We classify the groups $G$ such that these symmetric units satisfy a nilpotency identity $(x_1, \ldots ,x_n)=1$.
Nilpotency of group ring units symmetric with respect to an involution
SPINELLI, Ernesto
2010-01-01
Abstract
Let $F$ be an infinite field of characteristic different from $2$. Let $G$ be a torsion group having an involution $\ast$, and consider the units of the group ring $FG$ that are symmetric with respect to the induced involution. We classify the groups $G$ such that these symmetric units satisfy a nilpotency identity $(x_1, \ldots ,x_n)=1$.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
