Search results for "Algebra"
showing 10 items of 4129 documents
On p-chief factors of finite groups
1985
(1985). On p-chief factors of finite groups. Communications in Algebra: Vol. 13, No. 11, pp. 2433-2447.
A characterization of a generalized C?-notion on nets
1986
Injectors with a normal complement in a finite solvable group
2011
Abstract Suppose G is a finite solvable group, and H is a subgroup with a normal complement in G. We shall find necessary and sufficient conditions (some of which are related to the properties of coprime actions) for H to be an injector in G. We shall also use these criteria to find characterizations of injectors which need not have a normal complement.
Pronormal subgroups of a direct product of groups
2009
[EN] We give criteria to characterize abnormal, pronormal and locally pronormal subgroups of a direct product of two finite groups A×B, under hypotheses of solvability for at least one of the factors, either A or B.
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.