A short note on the topological decomposition of the Central Product of Groups
عنوان مقاله: A short note on the topological decomposition of the Central Product of Groups
شناسه ملی مقاله: JR_COMB-11-3_002
منتشر شده در در سال 1401
شناسه ملی مقاله: JR_COMB-11-3_002
منتشر شده در در سال 1401
مشخصات نویسندگان مقاله:
Yanga Bavuma - Department of Mathematical Sciences, University of South Africa, P.O.Box ۳۹۲, Pretoria, South Africa
خلاصه مقاله:
Yanga Bavuma - Department of Mathematical Sciences, University of South Africa, P.O.Box ۳۹۲, 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 ۳-manifold whose fundamental group is epimorphically mapped onto a central product.
کلمات کلیدی: Actions of groups, central products, fundamental group, Cayley graphs
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1472790/