Maximal subgroups of free idempotent generated semigroups over the full linear monoid
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Publication:2862135
DOI10.1090/S0002-9947-2013-05864-3zbMath1297.20059arXiv1112.0893OpenAlexW1966602092MaRDI QIDQ2862135
Publication date: 14 November 2013
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1112.0893
maximal subgroupsregular semigroupslinear algebraic monoidsreductive monoidsfree idempotent generated semigroupsbiordered sets of idempotentsfull linear monoids over division rings
Linear algebraic groups over arbitrary fields (20G15) Free semigroups, generators and relations, word problems (20M05) Algebraic systems of matrices (15A30) Relations of low-dimensional topology with graph theory (57M15) Algebraic monoids (20M32)
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Cites Work
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- Biordered sets come from semigroups
- Subgroups of free idempotent generated regular semigroups
- Completely O-simple semigroups and their associated graphs and groups
- Classification of monoids of Lie type
- On maximal subgroups of free idempotent generated semigroups.
- Linear algebraic monoids.
- Presentations for subgroups of monoids
- Monoids on groups with BN-pairs
- Independence algebras
- Subgroups of free idempotent generated semigroups need not be free.
- A note on maximal subgroups of free idempotent generated semigroups over bands.
- On the structure of semigroups
- Maximal subgroups of free idempotent-generated semigroups over the full transformation monoid
- PERIODIC ELEMENTS OF THE FREE IDEMPOTENT GENERATED SEMIGROUP ON A BIORDERED SET
- Representation theory of finite semigroups, semigroup radicals and formal language theory
- Structure of regular semigroups. I
- Complex Representations of Matrix Semigroups
- Idempotents in completely 0-simple semigroups
- Independence Algebras
- SUBGROUPS OF THE FREE SEMIGROUP ON A BIORDERED SET IN WHICH PRINCIPAL IDEALS ARE SINGLETONS
- Products of idempotents in algebraic monoids
- The Subsemigroup Generated By the Idempotents of a Full Transformation Semigroup
- Maximal subsemigroups of finite semigroups
- On products of idempotent matrices
- On finite 0-simple semigroups and graph theory
- On inverses of products of idempotents in regular semigroups
- Generating Sets of Completely 0-Simple Semigroups
- Products of idempotent matrices