|
|||||
|
|
|
|
|
|
|
|
|
Brauer-type results
on semigroups over p-adic
fields
Janez Bernik |
|
Vol. 208 (2003), No. 2, 201–207
|
Abstract |
|
In this paper we show that every central simple algebra A over ℚp, generated by a multiplicative semigroup S ⊂ A with the property that the minimal polynomial of every element in S splits over ℚp, is isomorphic to Mn(ℚp). If, in addition, S ⊂ A∗ is a compact group, then it contains a commutative normal subgroup of finite index. |
Milestones
Received: 9 September 2001
Revised: 16 November 2001
Published: 1 February 2003
|
Authors |
| Janez Bernik | |
| University of Ljubljana Faculty of Mathematics and Physics Jadranska 19 SI-1000 Ljubljana Slovenia |
|
|
