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

Document Type : Workshop on Graphs, Topology and Topological Groups, Cape Town, South Africa


Department of Mathematical Sciences, University of South Africa, P.O.Box 392, Pretoria, South Africa


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.


Main Subjects

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Volume 11, Issue 3 - Serial Number 3
Introduction to the Proceedings of WGTTG2021
September 2022
Pages 123-129
  • Receive Date: 11 September 2021
  • Revise Date: 11 February 2022
  • Accept Date: 14 February 2022
  • Published Online: 01 September 2022