free idempotent generated semigroup
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scholarly journals Every group is a maximal subgroup of a naturally occurring free idempotent generated semigroup

2013 ◽  
Vol 89 (1) ◽  
pp. 125-134 ◽  
Author(s):  
Victoria Gould ◽  
Dandan Yang
Keyword(s):  
Maximal Subgroup ◽  
Naturally Occurring ◽  
Free Idempotent Generated Semigroup

scholarly journals EVERY GROUP IS A MAXIMAL SUBGROUP OF THE FREE IDEMPOTENT GENERATED SEMIGROUP OVER A BAND

2013 ◽  
Vol 23 (03) ◽  
pp. 573-581 ◽  
Author(s):  
IGOR DOLINKA ◽  
NIK RUŠKUC
Keyword(s):  
Maximal Subgroup ◽  
Arbitrary Group ◽  
Finitely Presented ◽  
Free Idempotent Generated Semigroup

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.

scholarly journals PERIODIC ELEMENTS OF THE FREE IDEMPOTENT GENERATED SEMIGROUP ON A BIORDERED SET

2010 ◽  
Vol 20 (02) ◽  
pp. 189-194 ◽  
Author(s):  
D. EASDOWN ◽  
M. V. SAPIR ◽  
M. V. VOLKOV
Keyword(s):  
Biordered Set ◽  
Periodic Element ◽  
Free Idempotent Generated Semigroup

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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