Results 261 to 270 of about 339,574 (318)

Generating Permutation Groups

Communications in Algebra, 2004
Abstract In this paper an algorithm is produced, which, given a permutation group G of degree n > 3, outputs a generating set for G with at most n/2 elements.
A. Lucchini, F. Menegazzo, MORIGI, MARTA
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Collapsing permutation groups

Algebra Universalis, 2001
For a finite algebra \({\mathcal A}=(A,F)\), the unary part of the clone of \({\mathcal A}\) is a transformation monoid on the set \(A\). In the lattice of clones on \(A\), the collection of clones whose unary part is \(M\), forms an interval. It has long been known that if \(| A|\geq 3\) and \(M\) consists of all the constant operations and the ...
Kearnes, Keith A., Szendrei, Ágnes
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Permutation groups

1994
Abstract This is a long chapter on permutation groups of finite Morley rank. The reader will find numerous challenging open problems. We start with a generalization of Clifford’s Theorem to the context of groups of finite Morley rank. Our proof follows the standard proof and we do not claim any originality.
Alexandre Borovik, Ali Nesin
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Cofinitary Permutation Groups

Bulletin of the London Mathematical Society, 1996
An infinite permutation group is cofinitary if any non-identity element fixes only finitely many points. This paper presents a survey of such groups. The paper has four parts. The first develops some basic theory, concerning groups with finite orbits, topology, maximality, and normal subgroups.
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