Title of article
On the Kernels of Frobenius Groups
Author/Authors
Darafsheh ، Mohammad R. School of Mathematics, Statistics, and Computer Science, College of Science - University of Tehran , Saydi ، Hadiseh School of Mathematical and Statistical Sciences - North-West University, Mahikeng Campus
From page
563
To page
569
Abstract
A Frobenius group is a transitive permutation group on a finite set, such that no non-trivial element fixes more than one point and some non-trivial element fixes a point. Using character theory, it is proved that the Frobenius kernel is a normal subgroup of its Frobenius group. In this paper, we present some group-theoretical proofs that the Frobenius kernel is a subgroup of its Frobenius group under certain conditions.
Keywords
Frobenius group , Frobenius complement , Frobenius kernel
Journal title
Journal of Mahani Mathematical Research Center
Journal title
Journal of Mahani Mathematical Research Center
Record number
2768922
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