Results for 'Abderezak Houcine'

6 found
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  1.  19
    Satisfaction of existential theories in finitely presented groups and some embedding theorems.Abderezak Ould Houcine - 2006 - Annals of Pure and Applied Logic 142 (1):351-365.
    The main result is that for every recursively enumerable existential consistent theory Γ , there exists a finitely presented SQ-universal group H such that Γ is satisfied in every nontrivial quotient of H. Furthermore if Γ is satisfied in some group with a soluble word problem, then H can be taken with a soluble word problem. We characterize the finitely generated groups with soluble word problem as the finitely generated groups G for which there exists a finitely presented group H (...)
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  2.  14
    On superstable CSA-groups.Abderezak Ould Houcine - 2008 - Annals of Pure and Applied Logic 154 (1):1-7.
    We prove that a nonabelian superstable CSA-group has an infinite definable simple subgroup all of whose proper definable subgroups are abelian. This imply in particular that the existence of nonabelian CSA-group of finite Morley rank is equivalent to the existence of a simple bad group all whose definable proper subgroups are abelian. We give a new proof of a result of Mustafin and Poizat [E. Mustafin, B. Poizat, Sous-groupes superstables de SL2 ] which states that a superstable model of the (...)
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  3.  40
    On superstable groups with residual properties.Abderezak Ould Houcine - 2007 - Mathematical Logic Quarterly 53 (1):19-26.
    Given a pseudovariety [MATHEMATICAL SCRIPT CAPITAL C], it is proved that a residually-[MATHEMATICAL SCRIPT CAPITAL C] superstable group G has a finite seriesG0 ⊴ G1 ⊴ · · · ⊴ Gn = Gsuch that G0 is solvable and each factor Gi +1/Gi is in [MATHEMATICAL SCRIPT CAPITAL C] . In particular, a residually finite superstable group is solvable-by-finite, and if it is ω -stable, then it is nilpotent-by-finite. Given a finitely generated group G, we show that if G is ω (...)
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  4.  21
    A remark on the definability of the Fitting subgroup and the soluble radical.Abderezak Ould Houcine - 2013 - Mathematical Logic Quarterly 59 (1-2):62-65.
    Let G be an arbitrary group. We show that if the Fitting subgroup of G is nilpotent then it is definable. We prove also that the class of groups whose Fitting subgroup is nilpotent of class at most n is elementary. We give an example of a group whose Fitting subgroup is definable but not nilpotent. Similar results for the soluble radical are given; that is for the subgroup generated by all normal soluble subgroups of G.
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  5.  7
    Vers un rationalisme critique.Houcine Ben Slimane - 1996 - Nice [France]: Association Des.
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  6.  16
    Corporate governance and real earnings management in France: the moderating effect of political connections.Tarek Mejri, Asma Houcine & Badreddine Hamdi - 2024 - International Journal of Business Governance and Ethics 1 (1).
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