Every Group is a Maximal Subgroup of the Free Idempotent Generated Semigroup over a band
نویسندگان
چکیده
Given an arbitrary group G we construct a semigroup of idempotents (band) BG with the property that the free idempotent generated semigroup over BG has a maximal subgroup isomorphic to G. If G is finitely presented then BG is finite. This answers several questions from recent papers in the area.
منابع مشابه
On Maximal Subgroups of Free Idempotent Generated Semigroups
We prove the following results: (1) Every group is a maximal subgroup of some free idempotent generated semigroup. (2) Every finitely presented group is a maximal subgroup of some free idempotent generated semigroup arising from a finite semigroup. (3) Every group is a maximal subgroup of some free regular idempotent generated semigroup. (4) Every finite group is a maximal subgroup of some free...
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ورودعنوان ژورنال:
- IJAC
دوره 23 شماره
صفحات -
تاریخ انتشار 2013