On the unit group of Z-orders in finite dimensional algebras
Groups and noncommutative algebra: interactions and applications
Groupoid graded rings and groupoid rings: their categories of modules and units
| Full text | |
| Author(s): |
Goncalves, Jairo Z.
;
Veloso, Paula M.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY; v. 54, p. 15-pg., 2011-10-01. |
| Abstract | |
Let G be a group of odd order that contains a non-central element x whose order is either a prime p >= 5 or 3(l), with l >= 2. Then, in U(ZG), the group of units of ZG, we can find an alternating unit u based on x, and another unit v, which can be either a bicyclic or an alternating unit, such that for all sufficiently large integers m we have that < u(m), v(m)> = < u(m)> * < v(m)> congruent to Z * Z. (AU) | |