The Polycyclic MonoidsPnand the Thompson GroupsVn,1

DOI10.1080/00927870701511400zbMath1144.20040OpenAlexW2313685219MaRDI QIDQ5436327

Mark V. Lawson

Publication date: 14 January 2008

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870701511400

zbMATH Keywords

groups of unitsprefix codesThompson groupsorthogonal completionspolycyclic inverse monoidsstrong completions

Mathematics Subject Classification ID

Simple groups (20E32) Generators, relations, and presentations of groups (20F05) Free semigroups, generators and relations, word problems (20M05) Inverse semigroups (20M18)

Related Items (21)

Invariant means on Boolean inverse monoids ⋮ A correspondence between inverse subsemigroups, open wide subgroupoids and cartan intermediate C*-subalgebras ⋮ Subgroups of the group of homeomorphisms of the Cantor space and a duality between a class of inverse monoids and a class of Hausdorff étale groupoids ⋮ AF inverse monoids and the structure of countable MV-algebras ⋮ A perspective on non-commutative frame theory ⋮ On strong affine representations of the polycyclic monoids ⋮ Higher dimensional generalizations of the Thompson groups ⋮ Graph inverse semigroups: their characterization and completion. ⋮ Tarski monoids: Matui's spatial realization theorem ⋮ Strong representations of the polycyclic inverse monoids: cycles and atoms. ⋮ Higher dimensional generalizations of the Thompson groups via higher rank graphs ⋮ Non-commutative Stone duality ⋮ Pseudogroups and their étale groupoids. ⋮ NON-COMMUTATIVE STONE DUALITY: INVERSE SEMIGROUPS, TOPOLOGICAL GROUPOIDS AND C*-ALGEBRAS ⋮ A NONCOMMUTATIVE GENERALIZATION OF STONE DUALITY ⋮ The universal Boolean inverse semigroup presented by the abstract Cuntz-Krieger relations ⋮ The Booleanization of an inverse semigroup ⋮ Monoids that map onto the Thompson-Higman groups ⋮ Primitive partial permutation representations of the polycyclic monoids and branching function systems. ⋮ On topological McAlister semigroups ⋮ The Polycyclic Inverse Monoids and the Thompson Groups Revisited

Cites Work

• Unnamed Item
• A construction which can be used to produce finitely presented infinite simple groups
• Groupoids, inverse semigroups, and their operator algebras
• Constructing inverse semigroups from category actions
• A CORRESPONDENCE BETWEEN BALANCED VARIETIES AND INVERSE MONOIDS
• Orthogonal Completions of the Polycyclic Monoids
• CONGRUENCE-FREE INVERSE SEMIGROUPS
• THE GROUPS OF RICHARD THOMPSON AND COMPLEXITY

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