Every group is a maximal subgroup of a naturally occurring free idempotent generated semigroup
نویسندگان
چکیده
منابع مشابه
Every Group Is a Maximal Subgroup of a Naturally Occurring Free Idempotent Generated Semigroup
The study of the free idempotent generated semigroup IG(E) over a biordered set E has recently received a deal of attention. Let G be a group, let n ∈ N with n ≥ 3 and let E be the biordered set of idempotents of the wreath product G ≀ Tn. We show, in a transparent way, that for e ∈ E lying in the minimal ideal of G ≀ Tn, the maximal subgroup of e in IG(E) is isomorphic to G. It is known that G...
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ژورنال
عنوان ژورنال: Semigroup Forum
سال: 2013
ISSN: 0037-1912,1432-2137
DOI: 10.1007/s00233-013-9549-9