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The critical ω-foliated τ-closed formations of finite groups
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M. A. Korpacheva
Published/Copyright:
March 29, 2011
Abstract
Let 
be a class of finite groups, τ be a subgroup functor; an ω-foliated τ-closed formation of finite groups 𝔉 with direction δ is called the minimal ω-foliated τ-closed non--formation with direction δ, or, in other words, ωτδ-critical formation if 𝔉 ⊈ , but all proper ω-foliated τ-closed subformations with direction δ in 𝔉 are contained in the class . In this paper we investigate the structure of the minimal ω-foliated τ-closed non--formations with bp-direction δ satisfying the condition δ ≤ δ3 in the case where τ is a regular δ-radical subgroup functor.
Received: 2008-11-12
Revised: 2009-06-07
Published Online: 2011-03-29
Published in Print: 2011-March
© de Gruyter 2011
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Articles in the same Issue
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- The Voronoi polyhedra of the rooted lattice E6 and of its dual lattice
- Calculation of the characteristic polynomial of a matrix
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