Finite subgroups of v-semilatticed inverse semigroups
; McAlister, D. B.
Semigroup Forum, 78(2) (2009), 187-199
http://dx.doi.org/10.1007/s00233-008-9092-2
In this paper we describe the v-semilatticed inverse semigroups generated by a finite group G. We do this by first constructing the free v -semilatticed inverse semigroup F(G) on the group G. Each v-semilatticed inverse semigroup generated by G is a quotient of F(G) by a v-congruence. We then describe these congruences and their corresponding quotients explicitly in terms of families of subgroups of G.
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