THE TITS CONJECTURE FOR LOCALLY REDUCIBLE ARTIN GROUPS
2000 ◽
Vol 10
(06)
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pp. 783-797
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Given an Artin system (A,S), a conjecture of Tits states that the subgroup A(2) of A generated by the squares of the generators in S is subject only to the obvious commutator relations between generators. In particular, A(2) is a right-angled Artin group. We prove this conjecture for a class of infinite type Artin groups, called locally reducible Artin groups, for which the associated Deligne complex has a CAT(0) geometry. We also prove that for any special subgroup AT of A, A(2)∩AT=(AT)(2).
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2014 ◽
Vol 24
(06)
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pp. 815-825
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2018 ◽
Vol 28
(03)
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pp. 381-394
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2014 ◽
Vol 24
(02)
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pp. 121-169
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2009 ◽
Vol 19
(07)
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pp. 891-910
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