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Generix Never Gives Up

Journal of Symbolic Logic 71 (2):599 - 610 (2006)

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  1. Two Remarks on Elementary Theories of Groups Obtained by Free Constructions.Eric Jaligot - 2013 - Mathematical Logic Quarterly 59 (1-2):12-18.
    We give two slight generalizations of results of Poizat about elementary theories of groups obtained by free constructions. The first-one concerns generic types and the non-superstability of such groups in many cases. The second-one concerns the connectedness of most free products of groups without amalgamation.
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  • Conjugacy of Carter Subgroups in Groups of Finite Morley Rank.Olivier Frécon - 2008 - Journal of Mathematical Logic 8 (1):41-92.
    The Cherlin–Zil'ber Conjecture states that all simple groups of finite Morley rank are algebraic. We prove that any minimal counterexample to this conjecture has a unique conjugacy class of Carter subgroups, which are analogous to Cartan subgroups in algebraic groups.
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  • Quelques Réflexions Inévitables.Frank O. Wagner - 2013 - Archive for Mathematical Logic 52 (1-2):159-171.
    We generalize Frécon’s construction of the inevitable radical to groups in stable and even simple theories.
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  • In memoriam: Éric Jaligot 1972–2013.Adrien Deloro - 2014 - Bulletin of Symbolic Logic 20 (1):103-104.
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