A separable deformation of the quaternion group algebra

被引：2

作者：

Barnea, Nurit ^{[1
]}

Ginosar, Yuval ^{[1
]}

机构：

[1] Univ Haifa, Dept Math, IL-31905 Haifa, Israel

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2008年 / 136卷 / 08期

关键词：

D O I：

10.1090/S0002-9939-08-09480-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Donald-Flanigan conjecture asserts that for any finite group G and any field k, the group algebra kG can be deformed to a separable algebra. The minimal unsolved instance, namely the quaternion group Q(8) over a field k of characteristic 2 was considered as a counterexample. We present here a separable deformation of kQ(8). In a sense, the conjecture for any finite group is open again.

引用

页码：2675 / 2681

页数：7

共 12 条

[1] DEFORMATION-THEORETIC VERSION OF MASCHKES-THEOREM FOR MODULAR GROUP ALGEBRAS - COMMUTATIVE CASE [J].