Semigroup Algebras of Submonoids of Polycyclic-by-Finite Groups and Maximal Orders
✍ Scribed by Isabel Goffa; Eric Jespers; Jan Okniński
- Book ID
- 106341809
- Publisher
- Springer Netherlands
- Year
- 2009
- Tongue
- English
- Weight
- 250 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1386-923X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
a generalized 2-cocycle, i.e., not necessarily taking its values in the units of R, and consider the generalized twisted group ring R) G. In ␣ this paper we derive criteria for R) G to be a graded maximal R-order, resp. a ␣ Ž . hereditary R-order or a maximal R-order in K ) G .
Let G be a polycyclic-by-finite group such that ⌬ G is torsion-free abelian and K a field. Denote by S a multiplicatively closed set of non-zero central elements of w x K G ; if K is an absolute field assume that S contains an element not in K. Our w x main result is when the localization K G is a p