A solvability criterion for finite loops

Authors

  • E. Leppälä University of Oulu
  • M. Niemenmaa University of Oulu

Keywords:

inner mapping group, solvable loop, solvable group

Abstract

We show that a finite loop, whose inner mapping group is the direct product of a dihedral \(2\)-group and a nonabelian group of order \(pq\) (\(p\) > \(q\) are odd prime numbers), is solvable. 10.1017/S0004972713000269

Author Biographies

E. Leppälä, University of Oulu

Department of Mathematical Sciences

M. Niemenmaa, University of Oulu

Department of Mathematical Sciences

Published

2013-12-02

Issue

Vol. 89 No. 1 (2014)

Section

Articles
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