Geodesic
On a Class of Lattice Semigroup Functors
Matematičeskie zametki, Tome 89 (2011) no. 3, pp. 355-364.

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In the paper, continuum many natural transitive lattice subgroup functors corresponding to no hereditary lattice formation are constructed on the class of all finite groups. This result is an answer to Question 15.39 in “The Kourovka Notebook”, which was posed by the author and A. F. Vasilev in connection with their theorem claiming that, on the class of all solvable groups, all functors of this kind correspond to hereditary local lattice formations.
Keywords: lattice of all subgroups of a group, hereditary lattice formation, natural transitive lattice semigroup functor, subgroup functor, NLT functor.
Mots-clés : solvable group 
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S. F. Kamornikov. On a Class of Lattice Semigroup Functors. Matematičeskie zametki, Tome 89 (2011) no. 3, pp. 355-364. http://geodesic.mathdoc.fr/item/MZM_2011_89_3_a4/

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