Frobenius kernel and Wedderburn's little theorem

Amiri, M.; Ariannejad, M.

Frobenius kernel and Wedderburn's little theorem

Document Type : Research Paper

Authors

M. Amiri

M. Ariannejad

University of Zanjan

Abstract

We give a new proof of the well known Wedderburn's little theorem (1905) that a finite‎
‎division ring is commutative‎. ‎We apply the concept of Frobenius kernel in Frobenius representation theorem in finite group‎
‎theory to build a proof‎.

Keywords

Division ring‎

‎maximal subfield‎

‎Frobenius representation theorem‎

Subjects