32 citations · 341 across the 33 of their papers we have counts for
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math.GR2011★ 30 cited
Maximal subgroups of free idempotent generated semigroups over the full linear monoid
Igor Dolinka, Robert Gray
We show that the rank r component of the free idempotent generated semigroup of the biordered set of the full linear monoid of n x n matrices over a division ring Q has maximal sub…
math.GR2011
Direct products of free groups and free idempotent generated semigroups over bands
Igor Dolinka
For each group G which decomposes into a finitary direct product of free groups of finite rank we construct a regular band B such that the free idempotent generated semigroup over…
math.GR2011★ 10 cited
A note on free idempotent generated semigroups over the full monoid of partial transformations
Igor Dolinka
Recently, Gray and Ruskuc (arXiv:1101.1833) proved that if e is a rank k idempotent transformation of the set {1,...,n} to itself and k<=n-2, then the maximal subgroup of the free…