Solving xz=y^2 in certain subsets of finite groups
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).
| Main Author: | |
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| Format: | Journal article |
| Published: |
Oxford University Press
2017
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| _version_ | 1797051290780434432 |
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| author | Sanders, T |
| author_facet | Sanders, T |
| author_sort | Sanders, T |
| collection | OXFORD |
| description | 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). |
| first_indexed | 2024-03-06T18:17:23Z |
| format | Journal article |
| id | oxford-uuid:0513e9f3-b07b-4c48-b68c-527533d00b16 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T18:17:23Z |
| publishDate | 2017 |
| publisher | Oxford University Press |
| record_format | dspace |
| spelling | oxford-uuid:0513e9f3-b07b-4c48-b68c-527533d00b162022-03-26T08:55:12ZSolving xz=y^2 in certain subsets of finite groupsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:0513e9f3-b07b-4c48-b68c-527533d00b16Symplectic Elements at OxfordOxford University Press2017Sanders, TSuppose 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). |
| spellingShingle | Sanders, T Solving xz=y^2 in certain subsets of finite groups |
| title | Solving xz=y^2 in certain subsets of finite groups |
| title_full | Solving xz=y^2 in certain subsets of finite groups |
| title_fullStr | Solving xz=y^2 in certain subsets of finite groups |
| title_full_unstemmed | Solving xz=y^2 in certain subsets of finite groups |
| title_short | Solving xz=y^2 in certain subsets of finite groups |
| title_sort | solving xz y 2 in certain subsets of finite groups |
| work_keys_str_mv | AT sanderst solvingxzy2incertainsubsetsoffinitegroups |