Eisele, F. (2014) The p-adic group ring of SL2(p f). Journal of Algebra, 410, pp. 421-459. (doi: 10.1016/j.jalgebra.2014.01.036)
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Abstract
In the present article we show that the ℤp[ζpf −1]-order ℤp[ζpf −1] SL2(pf ) can be recognized among those orders whose reduction modulo p is isomorphic to Fpf SL2(pf ) using only ring-theoretic properties. In other words we show that Fpf SL2(pf ) lifts uniquely to a ℤp[ζpf −1]-order, provided certain reasonable conditions are imposed on the lift. This proves a conjecture made by Nebe in [8] concerning the basic order of ℤ2[ζ2f −1] SL2(2f ).
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Eisele, Dr Florian |
| Authors: | Eisele, F. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics |
| Journal Name: | Journal of Algebra |
| Publisher: | Elsevier |
| ISSN: | 0021-8693 |
| ISSN (Online): | 1090-266X |
| Published Online: | 04 March 2014 |
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