Characterization of Central Units of Zan

Abstract

The structure of V(Z(ZA(n))) is known when n <= 6. If n = 5 or 6, then a complete set of generators of V(Z(ZA(n))) has been determined. In this study, it was shown that V(Z(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).