A short note on the topological decomposition of the Central Product of Groups
Publish place: Transactions on Combinatorics، Vol: 11، Issue: 3
Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
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JR_COMB-11-3_002
تاریخ نمایه سازی: 4 تیر 1401
Abstract:
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 ۳-manifold whose fundamental group is epimorphically mapped onto a central product.
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Authors
Yanga Bavuma
Department of Mathematical Sciences, University of South Africa, P.O.Box ۳۹۲, Pretoria, South Africa