Every group is a maximal subgroup of the free idempotent generated semigroup over a band
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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.
Dolinka , I & Ruskuc , N 2013 , ' Every group is a maximal subgroup of the free idempotent generated semigroup over a band ' International Journal of Algebra and Computation , vol 23 , no. 3 , pp. 573-581 . DOI: 10.1142/S0218196713500100
International Journal of Algebra and Computation
Electronic version of an article published in Int. J. Algebra Comput. DOI: 10.1142/S0218196713500100 © [copyright World Scientific Publishing Company] http://www.worldscientific.com/worldscinet/ijac
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