Notre Dame Journal of Formal Logic 48 (1):115-132 (2007)

Abstract
Assume G is a superstable locally modular group. We describe for any countable model M of Th(G) the quotient group G(M) / Gm(M). Here Gm is the modular part of G. Also, under some additional assumptions we describe G(M) / Gm(M) relative to G⁻(M). We prove Vaught's Conjecture for Th(G) relative to Gm and a finite set provided that ℳ(G) = 1 and the ring of pseudoendomorphisms of G is finite
Keywords Vaught's conjecture   superstable theory   locally modular group
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DOI 10.1305/ndjfl/1172787549
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References found in this work BETA

Vaught’s Conjecture for Superstable Theories of Finite Rank.Steven Buechler - 2008 - Annals of Pure and Applied Logic 155 (3):135-172.
A Model and its Subset.Ludomir Newelski - 1992 - Journal of Symbolic Logic 57 (2):644-658.
Meager Forking.Ludomir Newelski - 1994 - Annals of Pure and Applied Logic 70 (2):141-175.
On Type Definable Subgroups of a Stable Group.L. Newelski - 1991 - Notre Dame Journal of Formal Logic 32 (2):173-187.
Scott Analysis of Pseudotypes.Ludomir Newelski - 1993 - Journal of Symbolic Logic 58 (2):648-663.

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