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On factorizations of finite groups with ℱ-hypercentral intersections of the factors
-
Wenbin Guo
and
Alexander N. Skiba
Published/Copyright:
August 29, 2011
Abstract
A chief factor H/K of a group G is called ℱ-central if [H/K](G/CG(H/K)) ∈ ℱ. The product of all such normal subgroups of G, whose G-chief factors are ℱ-central in G, is called the ℱ-hypercentre of G and denoted by 
. The finite groups G with factorizations G = AB, where 
for some class of groups ℱ, are studied. Some known results about factorizations of groups are generalized.
Received: 2010-01-23
Revised: 2010-05-25
Published Online: 2011-08-29
Published in Print: 2011-September
© de Gruyter 2011
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Articles in the same Issue
- A proof that Thompson's groups have infinitely many relative ends
- Quadratic properties in group amalgams
- Stabilizers of ℝ-trees with free isometric actions of FN
- On factorizations of finite groups with ℱ-hypercentral intersections of the factors
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- Lattice-defined classes of finite groups with modular Sylow subgroups
- On groups with all proper subgroups of finite exponent
- A case-free characterization of hyperbolic Coxeter systems
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