free idempotent generated semigroup
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2013 ◽  
Vol 23 (03) ◽  
pp. 573-581 ◽  
Author(s):  
IGOR DOLINKA ◽  
NIK RUŠKUC

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.



2010 ◽  
Vol 20 (02) ◽  
pp. 189-194 ◽  
Author(s):  
D. EASDOWN ◽  
M. V. SAPIR ◽  
M. V. VOLKOV

We show that every periodic element of the free idempotent generated semigroup on an arbitrary biordered set belongs to a subgroup of the semigroup.



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