A Geometric Rational Form for Artin Groups of FC Type |
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| Authors: | Joe Altobelli Ruth Charney |
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| Affiliation: | (1) Department of Mathematics, Kent State University, East Liverpool, OH, 43920, U.S.A.;(2) Department of Mathematics, Ohio State University, Columbus, OH, 43210-1174, U.S.A. |
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| Abstract: | If A is an Artin group whose poset of finite type special subgroups is a flag complex, then A is said to be of FC type. Such groups act cocompactly on a CAT(0) cubical complex with finite type Artin groups as stabilizers. We use the geometry of this complex to obtain a rational normal form for the group. |
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| Keywords: | Artin groups CAT(O) geometry regular language |
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