Asymmetric Generalizations of Schur’s Theorem

Author(s):  
Jeremy Lovejoy
Keyword(s):  
2001 ◽  
Vol 28 (8) ◽  
pp. 455-460 ◽  
Author(s):  
Peter Hilton

We study the ramifications of Schur's theorem that, ifGis a group such thatG/ZGis finite, thenG′is finite, if we restrict attention to nilpotent group. HereZGis the center ofG, andG′is the commutator subgroup. We use localization methods and obtain relativized versions of the main theorems.


1972 ◽  
Vol 3 (1) ◽  
pp. 17-19 ◽  
Author(s):  
Norman Levinson ◽  
Ray Redheffer

2018 ◽  
Vol 504 ◽  
pp. 440-444
Author(s):  
B.A.F. Wehrfritz
Keyword(s):  

1975 ◽  
Vol 53 (2) ◽  
pp. 440
Author(s):  
R. S. Kulkarni
Keyword(s):  

2010 ◽  
Vol 94 (5) ◽  
pp. 401-403 ◽  
Author(s):  
Peyman Niroomand
Keyword(s):  

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