CHARACTERIZATION OF CENTRAL UNITS OF ℤAn

Title & Authors
CHARACTERIZATION OF CENTRAL UNITS OF ℤAn
Bilgin, Tevfik; Gorentas, Necat; Kelebek, I. Gokhan;

Abstract
The structure of V(Ƶ($\small{ZA_n}$)) is known when $\small{n\leq6}$. If n = 5 or 6, then a complete set of generators of V (Ƶ($\small{ZA_n}$)) has been deter-mined. In this study, it was shown that V (Ƶ($\small{ZA_n}$)) is trivial when n = 7, 8 or 9 and it is generated by a single unit u when n = 10 or 11: This unit u is characterized explicitly for n = 10 or 11 by using irreducible characters of $\small{A_n}$.
Keywords
normalizer;centralizer;generators of central units;
Language
English
Cited by
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