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Minimal actions of the group( {Bbb S(Z)} )of permutations of the integers

โœ Scribed by E. Glasner; B. Weiss


Publisher
Springer
Year
2002
Tongue
English
Weight
300 KB
Volume
12
Category
Article
ISSN
1016-443X

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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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โœ Richard Stong ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 460 KB

In this paper, we show that given any finite set, D = {D 1, D2, ..., D.}, of positive integers, with gcd (D~, D 2 .... ,D.) = 1, there is a permutation of the positive integers such that the absolute value of the difference between any two consecutive values is in D. Further, it is possible to choos