Butler groups as smooth ascending unions |
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| Authors: | Ladislav Bican K.M. Rangaswamy Charles Vinsonhaler |
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| Affiliation: | 1. Ka Mff UK , Sokolovská 83, Karlin, Czech republik, 18600 E-mail: bican@karlin.nuT.cuni.cz;2. Department of Mathematics , University of Colorado , Colorado Springs, CO, 80933-7150 E-mail: ranga@math.uccs.edu;3. Department of Mathematics , University of Connecticut , Storrs, CT, 06269 E-mail: vinson@uconnvm.uconn.edu |
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| Abstract: | Fuchs and Rangaswamy [8] proved that a smooth ascending union G = U α<λ Gα of pure B2-subgroups is a B2-group provided either λ = ωo or λ = ω1,/G/ = N1 and all the subgroups Gα are decent in G. In this paper, we extend this result to arbitrary cardinal numbers λ under suitable hypotheses on the factor-groups G α+1/G α. |
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