On the Asphericity of a Family of Positive Relative Group Presentations
Sign Up to like & getrecommendations! Published in 2017 at "Proceedings of the Edinburgh Mathematical Society"
DOI: 10.1017/s0013091516000419
Abstract: Abstract Excluding four exceptional cases, we determine the asphericity of the relative presentation for m ⩾ 2. If H = ⟨g, h⟩ ⩽ G, then the exceptional cases occur when H is isomorphic to C… read more here.
Keywords: family positive; asphericity family; group presentations; positive relative ... See more keywords
Asphericity of positive free product length 4 relative group presentations
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DOI: 10.1515/forum-2017-0141
Abstract: Abstract Excluding some exceptional cases, we determine the asphericity of the relative presentation ???? = 〈 G , x ∣ a x m b x n 〉 {\mathcal{P}=\langle G,x\mid ax^{m}bx^{n}\rangle} , where… read more here.
Keywords: positive free; free product; relative group; asphericity positive ... See more keywords
Relative group homology theories with coefficients and the comparison homomorphism
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DOI: 10.2989/16073606.2020.1770895
Abstract: Abstract Let G be a group, let H be a subgroup of G and let Or(G) be the orbit category. In this paper we extend the definition of the relative group homology the- ories of… read more here.
Keywords: homomorphism; comparison homomorphism; group homology; relative group ... See more keywords
Weighted Relative Group Entropies and Associated Fisher Metrics
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DOI: 10.3390/e24010120
Abstract: A large family of new α-weighted group entropy functionals is defined and associated Fisher-like metrics are considered. All these notions are well-suited semi-Riemannian tools for the geometrization of entropy-related statistical models, where they may act… read more here.
Keywords: relative group; associated fisher; weighted relative; group entropies ... See more keywords