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Putting the squeeze on the Noether gap – The case of the alternating groups(A_n)

✍ Scribed by Larry Smith

Book ID
105874257
Publisher
Springer
Year
1999
Tongue
English
Weight
76 KB
Volume
315
Category
Article
ISSN
0025-5831

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Let \(G\) be a finite group such that every composition factor of \(G\) is either cyclic or isomorphic to the alternating group on \(n\) letters for some integer \(n\). Then for every positive integer \(h\) there is a subset \(A \subseteq G\) such that \(|A| \leqslant(2 h-1)|G|^{1 / h}\) and \(A^{h}