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Parabolic subgroups
of Artin groups of type FC
Eddy Godelle |
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Vol. 208 (2003), No. 2, 243–254
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Abstract |
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Let (A,S) be an Artin group of type FC and AT a standard parabolic subgroup of A. We use combinatorial tools to show that the normalizer of AT, the commensurator of AT, and the product of the quasi-centralizer of AT by AT are equal. Furthermore, we show that the centralizer and the quasi-centralizer of AT in A are generated by their intersections with the monoid A+. |
Milestones
Published: 1 February 2003
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Authors |
| Eddy Godelle | |
| School of Mathematics &
Statistics University of Sydney NSW 2006 Australia |
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