The strong Atiyah and Lück approximation conjectures for one-relator groups
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DOI: 10.1007/s00208-019-01926-0
Abstract: It is shown that the strong Atiyah conjecture and the Lück approximation conjecture in the space of marked groups hold for locally indicable groups. In particular, this implies that one-relator groups satisfy both conjectures. We… read more here.
Keywords: one relator; approximation; conjecture; relator groups ... See more keywords
One-Relator Maximal Pro-p Galois Groups and the Koszulity Conjectures
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DOI: 10.1093/qmath/haaa049
Abstract: Let $p$ be a prime number and let ${K}$ be a field containing a root of 1 of order $p$. If the absolute Galois group $G_{K}$ satisfies $\dim H^1(G_{K},\mathbb{F}_p) read more here.
Keywords: relator maximal; one relator; koszulity conjectures; galois ... See more keywords
One-relator Sasakian groups
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DOI: 10.4064/cm8521-3-2021
Abstract: We prove that any one-relator group $G$ is the fundamental group of a compact Sasakian manifold if and only if $G$ is either finite cyclic or isomorphic to the fundamental group of a compact Riemann… read more here.
Keywords: group compact; relator; relator sasakian; fundamental group ... See more keywords