Article ID Journal Published Year Pages File Type
4654165 European Journal of Combinatorics 2010 7 Pages PDF
Abstract

We investigate the multiplicative loops of finite semifields. We show that the group generated by the left and right multiplication maps contains the special linear group. This result solves a BCC18 problem of A. Drápal. Moreover, we study the question of whether the big Mathieu groups can occur as multiplication groups of loops.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
Authors
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