Search results for "Group of Lie type"

showing 2 items of 12 documents

Representations of Finite Groups

2009

Pure mathematicsProfinite groupGroup of Lie typeCompact groupLocally finite groupGeneral MedicineGroup theoryGroup representationRepresentation theory of finite groupsMathematicsSchur multiplierOberwolfach Reports
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A Gaschütz–Lubeseder Type Theorem in a Class of Locally Finite Groups

1999

The aim of this paper is to present a Gaschutz–Lubeseder type theorem in the class cL of all radical locally finite groups satisfying min−p for all primes p. Notice that these groups are countable and co-Hopfian by [1, (5.4.8)]. In retrospect, the theory of saturated formations of finite soluble groups began with the results of Gaschutz [3] in 1963. He introduced the concept of “covering subgroup” as a generalization of Sylow and Hall subgroups. These covering subgroups have many of the properties of Sylow and Hall subgroups other than the arithmetic ones. The main idea of Gaschutz’s work was concerned with group theoretical classes having the same properties. He defined a formation F to be…

p-groupDiscrete mathematicsPure mathematicsProfinite groupAlgebra and Number TheoryGroup of Lie typeLocally finite groupSymmetric groupSimple groupSylow theoremsClassification of finite simple groupsMathematicsJournal of Algebra
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