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CHARACTERIZATION OF CENTRAL UNITS OF ℤA<sub>n</sub>
Bilgin, Tevfik,Gorentas, Necat,Kelebek, I. Gokhan Korean Mathematical Society 2010 대한수학회지 Vol.47 No.6
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 $A_n$.
CHARACTERIZATION OF CENTRAL UNITS OF ZAn
Tevfik Bilgin,Necat Gorentas,I. Gokhan Kelebek 대한수학회 2010 대한수학회지 Vol.47 No.6
The structure of V (Z(ZAn)) is known when n ≤ 6. If n = 5or 6, then a complete set of generators of V (Z(ZAn)) has been deter-mined. In this study, it was shown that V (Z(ZAn)) 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 An.