Certain idempotents lying in the centralizer of the group of units

Hunter, R. P.

doi:10.1090/S0002-9939-1978-0498947-1

Certain idempotents lying in the centralizer of the group of units
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by R. P. Hunter PDF

Proc. Amer. Math. Soc. 71 (1978), 339-344 Request permission

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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