Cyclic amalgams, HNN extensions, and Garside one-relator groups
نویسندگان
چکیده
Garside groups are a natural lattice-theoretic generalisation of the braid and spherical type Artin–Tits groups. Here we show that class is closed under some free products with cyclic amalgamated subgroups. We deduce every tree product infinite group. Moreover, study those HNN extensions as well. Using theorem Pietrowski, conclude this paper by stating non-cyclic one-relator group if only its centre nontrivial.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2022
ISSN: ['1090-266X', '0021-8693']
DOI: https://doi.org/10.1016/j.jalgebra.2021.03.022