R. Zh. Aleev, O. V. Mitina, T. A. Khanenko, “Finding of units for integer group rings of orders 16 and 32 cyclic groups”, Chelyab. Fiz.-Mat. Zh., 2016, Volume 1, Issue 4,Pages <nobr>30

This article is cited in 3 papers

Mathematics

Finding of units for integer group rings of orders 16 and 32 cyclic groups

R. Zh. Aleev^ab, O. V. Mitina^ab, T. A. Khanenko^a

^a Chelyabinsk State University, Chelyabinsk, Russia
^b South Ural State University (National Research University), Chelyabinsk, Russia

Abstract: The groups of integer group rings units for cyclic groups of orders 16 and 32 are described. This description is obtained as a direct product of their subgroups. Generators of one of the subgroups are found for orders 16 and 32.

Keywords: group ring, group ring unit, cyclic group, primitive root, track, character.

UDC: 512.5

Received: 21.10.2016
Revised: 07.11.2016