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Smooth unions of Butler groups
-
Ladislav Bican
and
K.M Rangaswamy
Published/Copyright:
March 2, 2009
Abstract
If 
is the union of a smooth strictly ascending chain of B2-subgroups Gα, then, in the case when κ < ℵω, a criterion is established under which Gbecomes a B2-group. This criterion is dependent on a new class of torsion-free groups and generalizes earlier criteria for freeness established by Paul Hill. The result of S. Shelah and others establishing that, for a weakly compact cardinal κ “κ-free” implies “free”, is extended to the case of B2-groups.
Received: 1996-07-3
Revised: 1997-01-30
Published Online: 2009-03-02
Published in Print: 1998-03-11
© Walter de Gruyter
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Articles in the same Issue
- On Weiss' geometric characterization of the Rudvalis simple group
- Filtrations in feedback synthesis: Part I – Systems and feedbacks
- On twists of cuspidal representations of GL(2)
- Conditions on composition operators which map a space of Triebel-Lizorkin type into a Sobolev space. The case 1 < s < n/p. II
- Smooth unions of Butler groups
- Nonhenselian valuation domains and the Krull–Schmidt Property for torsion-free modules
Articles in the same Issue
- On Weiss' geometric characterization of the Rudvalis simple group
- Filtrations in feedback synthesis: Part I – Systems and feedbacks
- On twists of cuspidal representations of GL(2)
- Conditions on composition operators which map a space of Triebel-Lizorkin type into a Sobolev space. The case 1 < s < n/p. II
- Smooth unions of Butler groups
- Nonhenselian valuation domains and the Krull–Schmidt Property for torsion-free modules
