Search results for "number theory"

New Properties of the π-Special Characters

1997

Groups with two real Brauer characters

2007

Test ideals via algebras of 𝑝^{-𝑒}-linear maps

2012

Building on previous work of Schwede, Böckle, and the author, we study test ideals by viewing them as minimal objects in a certain class of modules, called F F -pure modules, over algebras of p − e p^{-e} -linear operators. We develop the basics of a theory of F F -pure modules and show an important structural result, namely that F F -pure modules have finite length. This result is then linked to the existence of test ideals and leads to a simplified and generalized treatment, also allowing us to define test ideals in non-reduced settings. Combining our approach with an observation of Anderson on the contracting property of p − e p^{-e} -linear operators yields an elementary approach to tes…

On Schunck Classes of Finite Groups with Cover and Avoidance Property on Abelian Chief Factors

2006

The main aim of this article is to obtain the characterization of local Schunck classes of finite groups whose projectors have the cover and avoidance property on Abelian chief factors.

Step algebras of quantum sl(n)

1992

Irreducible Representations of Periodic Finitary Linear Groups

1996

A synchronization property of pure subsemigroups of a free semigroup

1981

Rationality and normal 2-complements

2008

Abstract We study the finite groups in which every irreducible rational valued character is linear, and those in which every rational element is central.

Ordinary and p-modular character degrees of solvable groups

1991

On the loewy series of the group algebra of groups of smallp-Length∗

1989

(1989). On the loewy series of the group algebra of groups of small p-Length. Communications in Algebra: Vol. 17, No. 5, pp. 1249-1274.