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On The Lattice of Regular Transitive Subgroup Functors

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Abstract

We study the structure of the lattice Regtrϰ) of all regular transitive subgroup ϰ-functors. We describe all hereditary formations ϰ for which the width of Regtr(ϰ) is finite and does not exceed |π(ϰ)|, where fy(ϰ) is the set of all prime divisors of the orders of the groups in ϰ.

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Correspondence to S. F. Kamornikov.

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Original Russian Text Copyright © 2010 Kamornikov S. F.

Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 51, No. 5, pp. 1034-1040, September-October, 2010

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Kamornikov, S.F. On The Lattice of Regular Transitive Subgroup Functors. Sib Math J 51, 824–829 (2010). https://doi.org/10.1007/s11202-010-0083-7

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  • DOI: https://doi.org/10.1007/s11202-010-0083-7

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