A theorem on the orders of orbits of a finite permutation group

In this paper we give a proof of the following theorem. Let G be a permutation group on a finite set N. Then the order of G is odd if and only if the degrees of all transitive constituents of G and the degrees of all transitive constituents of each G a (a?N) are odd. The method we devised in proving...

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Veröffentlicht in:International journal of mathematical education in science and technology 1990-03, Vol.21 (2), p.309-310
1. Verfasser: Nyondo†, Andrew Chola
Format: Artikel
Sprache:eng
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