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The Primitive Sharp Permutation Groups of Twisted Wreath Type |
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| Authors: | Bálint Birszki |
| Institution: | 1. Hungarian Meteorological Service , Budapest, Hungary birszki.b@met.hu |
| Abstract: | A permutation group G ≤ Sym(X) on a finite set X is sharp if |G|=∏ l?L(G)(|X| ? l), where L(G) = {|fix(g)| | 1 ≠ g ? G}. We show that no finite primitive permutation groups of twisted wreath type are sharp. |
| Keywords: | Primitive permutation groups Sharp permutation groups Twisted wreath product |