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Centralizers of Parabolic Subgroups of Artin Groups of TypeAl,Bl, andDl

✍ Scribed by Luis Paris

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 359 KB
Volume: 196
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1997.7097

No coin nor oath required. For personal study only.

✦ Synopsis

denote by A the subgroup of A generated by X. Such a group is called a X Ž . parabolic subgroup of A, ⌺ . Let A be a parabolic subgroup with connected X associated Coxeter graph. We exhibit a generating set of the centralizer of A in X A. Moreover, we prove that there exists

and such that the centralizer of A in A is generated by the centers of all the X Ј parabolic subgroups containing A .

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