Units of Group Rings and Their Group Identities
DOI:
https://doi.org/10.11606/resimeusp.v2i3.74811Palavras-chave:
Group ring, Unit group, Group identityResumo
This paper surveys recent results concerning group rings KG whose group of units satisfies a group identity. For torsion groups we present a solution of a conjecture of Hartley relating the group identities of the group of units of KG to the polynomial identities satisfied by KG.
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Units of Group Rings and Their Group Identities. (2014). Resenhas Do Instituto De Matemática E Estatística Da Universidade De São Paulo, 2(3), 275-282. https://doi.org/10.11606/resimeusp.v2i3.74811