Butler groups as smooth ascending unions
作者:
Ladislav Bican,
K.M. Rangaswamy,
Charles Vinsonhaler,
期刊:
Communications in Algebra
(Taylor Available online 2000)
卷期:
Volume 28,
issue 11
页码: 5039-5045
ISSN:0092-7872
年代: 2000
DOI:10.1080/00927870008827142
出版商: Gordon and Breach Science Publishers Ltd.
数据来源: Taylor
摘要:
Fuchs and Rangaswamy [8] proved that a smooth ascending unionG= U α<λGα of pure B2-subgroups is a B2-group provided either λ = ωoor λ = ω1,/G/ = N1and all the subgroupsGαare decent inG. In this paper, we extend this result to arbitrary cardinal numbers λ under suitable hypotheses on the factor-groupsGα+1/Gα.
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