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Solving xz=y^2 in certain subsets of finite groups

Abstract:
Suppose that G is a finite group and A € G has no non-trivial solutions to xz = y2. We shall show that |A| = |G|/(loglog |G|)Ω(1).
Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted manuscript

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Publisher copy:
10.1093/qmath/haw056

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Department:
St Hughs College
Publisher:
Oxford University Press Publisher's website
Journal:
Quarterly Journal of Mathematics Journal website
Volume:
68
Issue:
1
Pages:
243-273
Publication date:
2017-01-06
Acceptance date:
2016-11-29
DOI:
EISSN:
1464-3847
ISSN:
0033-5606
Pubs id:
pubs:661215
URN:
uri:0513e9f3-b07b-4c48-b68c-527533d00b16
UUID:
uuid:0513e9f3-b07b-4c48-b68c-527533d00b16
Local pid:
pubs:661215

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