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Algebraic lattices of multiply Ω-foliated Fitting classes
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O. V. Kamozina
Published/Copyright:
July 1, 2006
In this paper, we investigate the lattice of all Fitting classes, the lattice of all n-multiply Ω-foliated Fitting classes with direction φ, Ψ0 ≤ φ, and the lattice of all totally canonical Fitting classes. It is shown that these lattices are algebraic with 1-generated compact elements.
Published Online: 2006-07-01
Published in Print: 2006-07-01
Copyright 2006, Walter de Gruyter
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Articles in the same Issue
- Estimates of the Cameron–Erdős constants
- Connection between Markov chains on finite simple groups and fundamental groups
- On automaton determinisation of sets of superwords
- Degeneracy bounds for private information retrieval protocols
- The Shannon function of the complexity of interval search on the Boolean cube in the class of trees
- On the distribution of the number of ones in a Boolean Pascal's triangle
- On a number triangle
- On the critical Ω-foliated formations of finite groups
- Algebraic lattices of multiply Ω-foliated Fitting classes
- Properties of the lattice of all multiply Ω-canonical formations
