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Bases of primitive linear groups II

โœ Scribed by Liebeck, Martin W.; Shalev, Aner


Book ID
122210832
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
206 KB
Volume
403
Category
Article
ISSN
0021-8693

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๐Ÿ“œ SIMILAR VOLUMES


Bases of primitive linear groups
โœ Martin W. Liebeck; Aner Shalev ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 168 KB

Let V be a finite vector space and G GL(V ) a linear group. A base of G is a set of vectors whose pointwise stabiliser in G is trivial. We prove that if G is irreducible and primitive on V , then G has a base of size at most 18 log |G|/log |V | + c, where c is an absolute constant. This verifies par

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A base of a permutation group G is a sequence B of points from the permutation domain such that only the identity of G fixes B pointwise. We show that primitive permutation groups with no alternating composition factors of degree greater than d and no classical composition factors of rank greater th

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