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http://dx.doi.org/10.4134/JKMS.2010.47.6.1239

CHARACTERIZATION OF CENTRAL UNITS OF ℤAn  

Bilgin, Tevfik (DEPARTMENT OF MATHEMATICS FACULTY OF ARTS AND SCIENCES FATIH UNIVERSITY)
Gorentas, Necat (DEPARTMENT OF MATHEMATICS FACULTY OF ARTS AND SCIENCES YUZUNCU YIL UNIVERSITY)
Kelebek, I. Gokhan (DEPARTMENT OF MATHEMATICS FACULTY OF ARTS AND SCIENCES FATIH UNIVERSITY)
Publication Information
Journal of the Korean Mathematical Society / v.47, no.6, 2010 , pp. 1239-1252 More about this Journal
Abstract
The structure of V(Ƶ($ZA_n$)) is known when $n\leq6$. If n = 5 or 6, then a complete set of generators of V (Ƶ($ZA_n$)) has been deter-mined. In this study, it was shown that V (Ƶ($ZA_n$)) 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 $A_n$.
Keywords
normalizer; centralizer; generators of central units;
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