Presentations of groups with even length relations

نویسندگان

چکیده

We study the properties of groups that have presentations in which generating set is a fixed involutions and all additional relations are even length. consider parabolic subgroups such group show every element has factorization with respect to given subgroup. Furthermore, we give counterexample, using cluster presentation, demonstrates this not necessarily unique.

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ژورنال

عنوان ژورنال: Communications in Algebra

سال: 2021

ISSN: ['1532-4125', '0092-7872']

DOI: https://doi.org/10.1080/00927872.2021.1955903