6533b823fe1ef96bd127ea63
RESEARCH PRODUCT
Automorphisms of the integral group ring of the hyperoctahedral group
A. ValentiSudarshan K. SehgalAntonio Giambrunosubject
CombinatoricsAlgebra and Number TheoryMatrix groupSymmetric groupAutomorphisms of the symmetric and alternating groupsOuter automorphism groupAlternating groupHyperoctahedral groupTopologyAutomorphismMathematicsGroup ringdescription
The purpose of this paper is to verify a conjecture of Zassenhaus [3] for hyperoctahedral groups by proving that every normalized automorphism () of ZG can be written in the form () = Tu 0 I where I is an automorphism of ZG obtained by extending an automorphism of G linearly to ZG and u is a unit of (JJG. A similar result was proved for symmetric groups by Peterson in [2]; the reader should consult [3] or the survey [4] for other results of this kind. 1989
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1990-01-01 | Communications in Algebra |