Journal article
Cycle type in Hall–Paige: a proof of the Friedlander–Gordon–Tannenbaum conjecture
- Abstract:
- An orthomorphism of a finite group G is a bijection such that is also a bijection. In 1981, Friedlander, Gordon, and Tannenbaum conjectured that when G is abelian, for any dividing , there exists an orthomorphism of G fixing the identity and permuting the remaining elements as products of disjoint k-cycles as long as the Sylow -subgroups of G are trivial or noncyclic. We prove this conjecture for all sufficiently large groups.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Version of record, pdf, 778.6KB, Terms of use)
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- Publisher copy:
- 10.1017/fms.2026.10197
Authors
- Publisher:
- Cambridge University Press
- Journal:
- Forum of Mathematics, Sigma More from this journal
- Volume:
- 14
- Article number:
- e50
- Publication date:
- 2026-04-01
- Acceptance date:
- 2025-12-18
- DOI:
- EISSN:
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2050-5094
- ISSN:
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2050-5094
- Language:
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English
- Keywords:
- Pubs id:
-
2407728
- Local pid:
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pubs:2407728
- Source identifiers:
-
3907740
- Deposit date:
-
2026-04-01
- ARK identifier:
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Terms of use
- Copyright date:
- 2026
- Licence:
- CC Attribution (CC BY)
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