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Mathematical logic, algebra and number theory On intersections of triples of nilpotent subgroups in finite solvable groups V. I. Zenkov ab a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg b Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg Abstract:
It is proved that for every nilpotent subgroups
$A,B,C$ of finite solvable group
$G$ we have
$A\cap B^x\cap C^y\le F(G)$ for some elements
$x,y\in G$ .
Keywords:
finite solvable group, nilpotent subgroup.
UDC:
512.542
MSC: 13A99 Received February 28, 2014 , published
March 7, 2014
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