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

 

Certain idempotents lying in the centralizer of the group of units


Author: R. P. Hunter
Journal: Proc. Amer. Math. Soc. 71 (1978), 339-344
MSC: Primary 22A15
MathSciNet review: 0498947
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Abstract: Let S be a compact connected monoid of dimension n having G as a connected group of units. Let B be a closed subgroup outside of the minimal ideal. The maximum dimension possible for the product BG is $ n - 1$. If this maximum is attained by BG and GB and both are Lie groups then B meets the centralizer of G.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1978-0498947-1
PII: S 0002-9939(1978)0498947-1
Article copyright: © Copyright 1978 American Mathematical Society