Search results for "Extra special group"

showing 3 items of 3 documents

On Finite Solvable Groups That Behave Like Nilpotent Groups with Respect to the Frattini Group

1994

Discrete mathematicsPure mathematicsAlgebra and Number TheoryGroup (mathematics)Solvable groupExtra special groupSimple groupNilpotent groupCentral seriesFitting subgroupMathematicsNon-abelian groupJournal of Algebra
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The Fitting Subgroup and Some Injectors of Radical Locally Finite Groups with min-pfor Allp

2003

Abstract This work was intended as an attempt to continue the study of the class ℬ of generalised nilpotent groups started in a previous paper. We present some results concerning the Fitting subgroup and the ℬ-injectors of a radical locally finite group satisfying min-p for all p.

p-groupDiscrete mathematicsPure mathematicsNilpotentAlgebra and Number TheoryLocally finite groupExtra special groupCA-groupNilpotent groupCentral seriesFitting subgroupMathematicsCommunications in Algebra
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Finite groups with all minimal subgroups solitary

2016

We give a complete classification of the finite groups with a unique subgroup of order p for each prime p dividing its order. All the groups considered in this paper will be finite. One of the most fruitful lines in the research in abstract group theory during the last years has been the study of groups in which the members of a certain family of subgroups satisfy a certain subgroup embedding property. The family of the subgroups of prime order (also called minimal subgroups) has attracted the interest of many mathematicians. For example, a well-known result of Itˆo (see [8, Kapitel III, Satz 5.3; 9]) states that a group of odd order with all minimal subgroups in the center is nilpotent. Th…

p-groupNormal subgroupFinite groupAlgebra and Number TheoryApplied MathematicsAstrophysics::Instrumentation and Methods for AstrophysicsMinimal subgroupGrups Teoria deComputer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing)Fitting subgroupCombinatoricsMathematics::Group TheoryLocally finite groupExtra special groupComputer Science::General LiteratureOmega and agemo subgroupSolitary subgroupÀlgebraIndex of a subgroupFinite groupMATEMATICA APLICADAMathematics
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