Presentations of groups with even length relations
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We study the properties of groups that have presentations in which the generating set is a fixed set of involutions and all additional relations are of even length. We consider the parabolic subgroups of such a group and show that every element has a factorization with respect to a given parabolic subgroup. Furthermore, we give a counterexample, using a cluster group presentation, which demonstrates that this factorization is not necessarily unique.
Webster , I 2021 , ' Presentations of groups with even length relations ' , Communications in Algebra , vol. Latest Articles . https://doi.org/10.1080/00927872.2021.1955903
Communications in Algebra
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