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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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