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Boolean lattices of multiply Ω-foliated formations

  • Yu.A. Skachkova
Published/Copyright: February 2, 2016
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Discrete Mathematics and Applications
From the journal Discrete Mathematics and Applications Volume 12 Issue 5

Abstract

In the context of a new functional approach to the study of classes of groups, V. A. Vedernikov and M. M. Sorokina introduced Ω-foliated formations, which gave a possibility to systematise a wide class of formations of finite groups. In this paper, we study n-multiply Ω-foliated formations with r-direction φ such that φ0 ≤ φ, φ(A) ⊆ GA′GA for all A ∈ ℑ whose lattice of all n-multiply Ω-foliated subformations with direction φ is Boolean.

Published Online: 2016-2-2
Published in Print: 2002-10-1

© 2016 by Walter de Gruyter Berlin/Boston

Articles in the same Issue

  1. Editorial
  2. On permanents of random doubly stochastic matrices and asymptotic estimates of the nom hers of Latin rectangles and Latin squares
  3. On reversal of graph orientation
  4. The structure of an infinite Sylow subgroup in some periodic Shunkov groups
  5. Boolean lattices of multiply Ω-foliated formations
  6. Boolean lattices of n-multiply Ω-bicanonical Fitting classes
  7. On infinite groups with points
  8. Linear recurring sequence decimations with exponentially increasing step
  9. On ω-languages of special billiards
  10. On relative complexity of quantum and classical branching programs
  11. Forthcoming Papers
  12. Contents
https://doi.org/10.1515/dma-2002-0505

Articles in the same Issue

  1. Editorial
  2. On permanents of random doubly stochastic matrices and asymptotic estimates of the nom hers of Latin rectangles and Latin squares
  3. On reversal of graph orientation
  4. The structure of an infinite Sylow subgroup in some periodic Shunkov groups
  5. Boolean lattices of multiply Ω-foliated formations
  6. Boolean lattices of n-multiply Ω-bicanonical Fitting classes
  7. On infinite groups with points
  8. Linear recurring sequence decimations with exponentially increasing step
  9. On ω-languages of special billiards
  10. On relative complexity of quantum and classical branching programs
  11. Forthcoming Papers
  12. Contents
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