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Primitive densities of certain sets of primes

✍ Scribed by Barry J Powell


Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
333 KB
Volume
12
Category
Article
ISSN
0022-314X

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Classical results by Behrend, ErdΓΆs, Pillai, SzemerΓ©di, the authors, and others are improved and extended to other concepts of densities in two directions, based on smooth and multiplicative weightings.

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This paper precisely classifies all simple groups with subgroups of index n and all primitive permutation groups of degree n, where n = 2.3', 5.3' or 10.3' for Y 2 1. As an application, it proves positively Gardiner and Praeger's conjecture in [6] regarding transitive groups with bounded movement.