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The Existence of Complete Mappings of SL(2, q), q≡1 Modulo 4

✍ Scribed by Anthony B Evans

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
209 KB
Volume
7
Category
Article
ISSN
1071-5797

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✦ Synopsis

In 1955, Hall and Paige conjectured that any "nite group with a noncyclic Sylow 2-subgroup admits complete mappings. For the groups G¸(2, q), S¸(2, q), PS¸(2, q), and PG¸(2, q) this conjecture has been proved except for S¸(2, q), q odd. We prove that S¸(2, q), q,1 modulo 4 admits complete mappings.

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