Mathematics

Central unit group of integral group ring of alternating group of degree 14

A. V. Kargapolov

South Ural State University

Abstract: Central unit group of integral group ring of alternating group of degree 14 is considered. For the first time full definition of central unit group of integral group ring of alternating group, whose rank is greater than one, was received.

Keywords: group ring, alternating group, central unit, local unit, irreducible characters.

UDC: 517.977

Received: 03.02.2011