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


Article Review Status: Published

Pages: 27-42 (Download PDF)

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