Reduction of the Hall-Paige conjecture to sporadic simple groups

Details Reduction of the Hall-Paige conjecture to sporadic simple groups Reduction of the Hall-Paige conjecture to sporadic simple groups

2010-10-07

arxiv.org/abs/1010.1323v1

Journal of Algebra 321, Issue 5, pp1407-1428, 2009

Mathematics

Group Theory

Scientific paper

A complete mapping of a group $G$ is a permutation $\phi:G\rightarrow G$ such that $g\mapsto g\phi(g)$ is also a permutation. Complete mappings of $G$ are equivalent to tranversals of the Cayley table of $G$, considered as a latin square. In 1953, Hall and Paige proved that a finite group admits a complete mapping only if its Sylow-2 subgroup is trivial or non-cyclic. They conjectured that this condition is also sufficient. We prove that it is sufficient to check the conjecture for the 26 sporadic simple groups and the Tits group.

Affiliated with

Also associated with

No associations

Rating

Reduction of the Hall-Paige conjecture to sporadic simple groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Reduction of the Hall-Paige conjecture to sporadic simple groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Reduction of the Hall-Paige conjecture to sporadic simple groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-508770