BIRGET–RHODES EXPANSION OF GROUPS AND INVERSE MONOIDS OF MÖBIUS TYPE-Reference-Cited by-同舟云学术

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BIRGET–RHODES EXPANSION OF GROUPS AND INVERSE MONOIDS OF MÖBIUS TYPE

Published:2002-08 Issue:04 Volume:12 Page:525-533
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

CHOI KEUNBAE¹,LIM YONGDO¹

Affiliation:

1. Department of Mathematics, Kyungpook National University, Taegu 702-701, Korea

Abstract

In this paper we prove that if a group G acts faithfully on a Hausdorff space X and acts freely at a non-isolated point, then the Birget–Rhodes expansion [Formula: see text] of the group G is isomorphic to an inverse monoid of Möbius type obtained from the action.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196702001073

Reference5 articles.

1. Group theory via global semigroup theory

2. Inverse Monoids of Möbius Type

3. Partial actions of groups and actions of inverse semigroups

4. The Möbius Inverse Monoid

5. A note on Birget-Rhodes expansion of groups

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1. Orderability of the prefix expansion of an ordered inverse semigroup;Semigroup Forum;2024-02

2. Recent developments around partial actions;São Paulo Journal of Mathematical Sciences;2018-04-09

3. Transitive partial actions of groups;Periodica Mathematica Hungarica;2008-06

4. Actions and expansions of ordered groupoids;Journal of Pure and Applied Algebra;2005-06

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