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RESEARCH PRODUCT
Group Identities on Units of Group Algebras
A. ValentiAntonino GiambrunoSudarshan K. Sehgalsubject
p-groupAlgebra and Number TheoryDicyclic groupG-module010102 general mathematicsPerfect groupCyclic group010103 numerical & computational mathematics01 natural sciencesNon-abelian groupCombinatoricsInfinite groupIdentity component0101 mathematicsMathematicsdescription
Abstract Let U be the group of units of the group algebra FG of a group G over a field F . Suppose that either F is infinite or G has an element of infinite order. We characterize groups G so that U satisfies a group identity. Under the assumption that G modulo the torsion elements is nilpotent this gives a complete classification of such groups. For torsion groups this problem has already been settled in recent years.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2000-04-01 | Journal of Algebra |