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RESEARCH PRODUCT
On the automorphism group of the integral group ring of Sk wr Sn
A. Valentisubject
CombinatoricsAlgebra and Number TheoryInner automorphismHolomorphSymmetric groupMathematical analysisOuter automorphism groupAlternating groupAutomorphismUnit (ring theory)Group ringMathematicsdescription
Abstract Let G = SkwrSn be the wreath product of two symmetric groups Sk and Sn. We prove that every normalized automorphism θ of the integral group ring Z G can be written in the form θ = γ ° τu, where γ is an automorphism of G and τu denotes the inner automorphism induced by a unit u in Q G.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1992-04-01 | Journal of Pure and Applied Algebra |