weak minimal condition
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2020 ◽  
Vol 560 ◽  
pp. 371-382
Author(s):  
Ulderico Dardano ◽  
Fausto De Mari ◽  
Silvana Rinauro




2009 ◽  
Vol 7 (2) ◽  
Author(s):  
Leonid Kurdachenko ◽  
Howard Smith

AbstractWe introduce the notion of the non-subnormal deviation of a group G. If the deviation is 0 then G satisfies the minimal condition for nonsubnormal subgroups, while if the deviation is at most 1 then G satisfies the so-called weak minimal condition for such subgroups (though the converse does not hold). Here we present some results on groups G that are either soluble or locally nilpotent and that have deviation at most 1. For example, a torsion-free locally nilpotent with deviation at most 1 is nilpotent, while a Baer group with deviation at most 1 has all of its subgroups subnormal.



2002 ◽  
Vol 249 (1) ◽  
pp. 226-246 ◽  
Author(s):  
Martyn R. Dixon ◽  
Martin J. Evans ◽  
Howard Smith


1997 ◽  
Vol 173 (1) ◽  
pp. 299-312 ◽  
Author(s):  
Leonid A. Kurdachenko ◽  
Howard Smith


1986 ◽  
Vol 37 (3) ◽  
pp. 232-236
Author(s):  
L. A. Kurdachenko ◽  
A. V. Tushev




1986 ◽  
Vol 37 (4) ◽  
pp. 364-368
Author(s):  
L. A. Kurdachenko ◽  
A. V. Tushev


1984 ◽  
Vol 23 (4) ◽  
pp. 303-306 ◽  
Author(s):  
A. N. Ostylovskii


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