The existence of complete mappings of SL(2, q), q equivalent to 1 modulo 4

Authors
Evans, AB
Citation
Ab. Evans, The existence of complete mappings of SL(2, q), q equivalent to 1 modulo 4, FINITE F T, 7(3), 2001, pp. 373-381
Citations number
10
Categorie Soggetti
Mathematics
Journal title
FINITE FIELDS AND THEIR APPLICATIONS
ISSN journal
10715797 → ACNP
Volume
7
Issue
3
Year of publication
2001
Pages
373 - 381
Database
ISI
SICI code
1071-5797(200107)7:3<373:TEOCMO>2.0.ZU;2-6
Abstract
In 1955, Hall and Paige conjectured that any finite group with a noncyclic Sylow 2-subgroup admits complete mappings. For the groups GL(2, q), SL(2, q ), PSL(2, q), and PGL(2, q) this conjecture has been proved except for SL(2 , q), q odd. We prove that SL(2, q), q drop 1 module 4 admits complete mapp ings. (C) 2001 Academic Press.