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On minimal degrees and base sizes of primitive permutation groups

โœ Scribed by Martin W. Liebeck

Book ID
112496009
Publisher
Springer
Year
1984
Tongue
English
Weight
238 KB
Volume
43
Category
Article
ISSN
0003-889X

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๐Ÿ“œ SIMILAR VOLUMES

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We improve a result of Liebeck and Saxl concerning the minimal degree of a primitive permutation group and use it to strengthen a result of Guralnick and Neubauer on generic covers of Riemann surfaces.

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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