35 citations · 258 across the 40 of their papers we have counts for
45 papers
Subgroups of -unitary and -injective special inverse monoids
Robert D. Gray, Mark Kambites
We continue the study of the structure of general subgroups (in particular maximal subgroups, also known as group -classes) of special inverse monoids. Recent research…
Membership problems for positive one-relator groups and one-relation monoids
Islam Foniqi, Robert D. Gray, Carl-Fredrik Nyberg-Brodda
Motivated by approaches to the word problem for one-relation monoids arising from work of Adian and Oganesian (1987), Guba (1997), and Ivanov, Margolis and Meakin (2001), we study…
Prefix monoids of groups and right units of special inverse monoids
Igor Dolinka, Robert D. Gray
A prefix monoid is a finitely generated submonoid of a finitely presented group generated by the prefixes of its defining relators. Important results of Guba (1997), and of Ivanov,…
Maximal subgroups of finitely presented special inverse monoids
Robert D. Gray, Mark Kambites
We study the maximal subgroups (also known as group -classes) of finitely presented special inverse monoids. We show that the maximal subgroups which can arise in such…
On groups of units of special and one-relator inverse monoids
Robert D. Gray, Nik Ruskuc
We investigate the groups of units of one-relator and special inverse monoids. These are inverse monoids which are defined by presentations where all the defining relations are of…
Ehresmann theory and partition monoids
James East, Robert D. Gray
This article concerns Ehresmann structures in the partition monoid . Since contains the symmetric and dual symmetric inverse monoids on the same base set , it natural…