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Collapsing inverse monoids

✍ Scribed by Miklós Dormán

Publisher: Springer
Year: 2007
Tongue: English
Weight: 186 KB
Volume: 56
Category: Article
ISSN: 0002-5240
DOI: 10.1007/s00012-007-1998-0

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Let G be a group acting effectively on a Hausdorff space X, and let Y be an open dense subset of X. We show that the inverse monoid generated by elements of G regarded as partial functions on Y is an F-inverse monoid whose maximum group image is isomorphic to G. We also describe the monoid in terms