R. Zh. Aleev, O. V. Mitina, E. A. Khristenko, “Congruence modulo 2 of circular units in the fields $Q_{16}$ and $Q_{32}$”, Chelyab. Fiz.-Mat. Zh., 2016, Volume 1, Issue 4,Pages 8

This article is cited in 3 papers

Mathematics

Congruence modulo 2 of circular units in the fields $Q_{16}$ and $Q_{32}$

R. Zh. Aleev^ab, O. V. Mitina^ab, E. A. Khristenko^a

^a Chelyabinsk State University, Chelyabinsk, Russia
^b South Ural State University, Chelyabinsk, Russia

Abstract: In this paper the behavior of units (invertible elements) of the rings of integer of 2-circular fields is studied. In particular, the comparability of modulo 2 for the circular units of fields $Q_{16}$ и $Q_{32}$ is considered.

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

UDC: 512.5

Received: 21.10.2016
Revised: 07.11.2016