Permutation groups, simple groups, and Sieve methods

We show that the number of integers n ≤ x which occur as indices of subgroups of nonabelian finite simple groups, excluding that of An-1 in An, is ∼ hx/log x, for some given constant h. This might be regarded as a noncommutative analogue of the Prime Number Theorem (which counts indices n ≤ x of sub...

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Bibliographic Details
Main Authors: Heath-Brown, D, Praeger, C, Shalev, A
Format: Journal article
Language:English
Published: 2005