One-relator groups and algebras related to polyhedral products
نویسندگان
چکیده
We link distinct concepts of geometric group theory and homotopy through underlying combinatorics. For a flag simplicial complex $K$, we specify necessary sufficient combinatorial condition for the commutator subgroup $RC_K'$ right-angled Coxeter group, viewed as fundamental real moment-angle $\mathcal{R}_K$, to be one-relator group; Pontryagin algebra $H_*(\Omega \mathcal{Z}_K)$ algebra. also give homological characterisation these properties. $RC_K'$, it is given by on homology $H_2(\mathcal{R}_K)$, whereas stated in terms bigrading groups $\mathcal{Z}_K$.
منابع مشابه
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ژورنال
عنوان ژورنال: Proceedings
سال: 2021
ISSN: ['0890-1740']
DOI: https://doi.org/10.1017/prm.2020.101