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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A note on the unit group of $ {\bf Z}S\sb 3$


Authors: P. J. Allen and C. Hobby
Journal: Proc. Amer. Math. Soc. 99 (1987), 9-14
MSC: Primary 20C05; Secondary 16A26, 20C10
MathSciNet review: 866420
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Abstract: The group $ V(Z{S_3})$ of units of augmentation 1 in $ Z{S_3}$ is characterized as the group of all doubly stochastic matrices in $ {\text{GL(}}3,Z)$. Two normal complements are presented, one of which is torsion free while the other contains elements of order 2.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1987-0866420-X
PII: S 0002-9939(1987)0866420-X
Article copyright: © Copyright 1987 American Mathematical Society