A short note on the topological decomposition of the central product of groups

Bavuma, Yanga

doi:10.22108/toc.2022.130505.1908

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	A short note on the topological decomposition of the central product of groups
Transactions on Combinatorics
مقاله 2، دوره 11، شماره 3، آذر 2022، صفحه 123-129 اصل مقاله (424.47 K)
نوع مقاله: Workshop on Graphs, Topology and Topological Groups, Cape Town, South Africa
شناسه دیجیتال (DOI): 10.22108/toc.2022.130505.1908
نویسنده
Yanga Bavuma^*
Department of Mathematical Sciences, University of South Africa, P.O.Box 392, Pretoria, South Africa
چکیده
It has been recently observed that a topological decomposition of the Pauli group, as central product of the quaternion group of order eight and the cyclic group of order four, influences some significant dynamical systems in mathematical physics. The connection between groups of symmetries and dynamical systems is in fact well known, but looking specifically at the algebraic and topological decompositions of the Pauli group, we find conditions for the existence of a Riemannian $3$-manifold whose fundamental group is epimorphically mapped onto a central product.
کلیدواژه‌ها
Actions of groups؛ central products؛ fundamental group؛ Cayley graphs

مراجع
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A short note on the topological decomposition of the central product of groups