Concerning Hall’s theorem

Author(s):  
A. G. Moshonkin
2003 ◽  
Vol 42 (3) ◽  
pp. 246-255 ◽  
Author(s):  
Mathew Cropper ◽  
András Gyárfás ◽  
Jenő Lehel

2016 ◽  
Vol 10 (02) ◽  
pp. 1750024
Author(s):  
Feng Zhou

Let [Formula: see text] be a finite group, whose order has [Formula: see text] prime divisors. In this paper, we prove that if [Formula: see text] has a [Formula: see text]-complement for [Formula: see text] prime divisors [Formula: see text] of [Formula: see text] and [Formula: see text] has no section isomorphic to [Formula: see text]. Then [Formula: see text] is solvable, which generalizes a theorem of Hall.


2015 ◽  
Vol 130 ◽  
pp. 26-41
Author(s):  
J.L. Goldwasser ◽  
A.J.W. Hilton ◽  
D.G. Hoffman ◽  
Sibel Özkan

2001 ◽  
Vol 108 (10) ◽  
pp. 982 ◽  
Author(s):  
Fred Galvin

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