Author: Nadir Trabelsi

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AUTHOR

Nadir Trabelsi

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On minimal non-PC-groups

2009

On dit qu'un groupe G est un PC-groupe, si pour tout x ∈ G, G/C G (x G ) est une extension d'un groupe polycyclique par un groupe fini. Un non-PC-groupe minimal est un groupe qui n'est pas un PC-groupe mais dont tous les sous-groupes propres sont des PC-groupes. Notre principal resultat est qu'un non-PC-groupe minimal ayant un groupe quotient fini non-trivial est une extension cyclique finie d'un groupe abelien divisible de rang fini.

Finite groupAlgebra and Number Theory$PC$-groupApplied MathematicsCyclic groupCombinatoricsSettore MAT/02 - Algebraminimal non-$PC$ groupsubgroups of finite indexpolycyclic-by-finite groupCalculusRank (graph theory)Geometry and TopologySettore MAT/03 - GeometriaAbelian groupAnalysisMathematics

researchProduct

PEPhysical Sciences and Engineering
- PE2Fundamental Constituents of Matter
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LSLife Sciences
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SHSocial Sciences and Humanities
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