International Journal of Mathematics and Statistics Studies (IJMSS)

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FINITE SUBGROUPS OF THE ORTHOGONAL GROUP IN THREE DIMENSIONS AND THEIR POLES

Abstract

The action of finite subgroups of the orthogonal group on the set of their poles is well-known; (See Benson and Grove [1]; Neumann et al. [4]). In this paper we will use an approach different from the traditional one. We shall use the concept of marks of a permutation group. The results obtained agree with those obtained earlier (See [1], [4]).

Keywords: Group action, Orthogonal group, Poles

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Email ID: editor.ijmss@ea-journals.org
Impact Factor: 7.80
Print ISSN: 2053-2229
Online ISSN: 2053-2210
DOI: https://doi.org/10.37745/ijmss.13

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