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Inverse Monoids of Möbius Type

✍ Scribed by Keunbae Choi; Yongdo Lim

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
107 KB
Volume
223
Category
Article
ISSN
0021-8693

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✦ Synopsis

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 of McAlister triples. This generalizes the results about Mobius transformations on the complex plane.

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