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Lattices of subgroup and subsystem functors

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Lattices of subgroup and subsystem functors are investigated. In particular, it is proved that for the case where X is a formation of finite groups and width of the lattice F0(X) is at most |π(X)|, the formation X is metanilpotent and |π(X)| ⩽ 3.

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Translated from Algebra i Logika, Vol. 45, No. 6, pp. 710–730, November–December, 2006.

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Guo, W., Skiba, A.N. & Shum, K.P. Lattices of subgroup and subsystem functors. Algebr Logic 45, 403–414 (2006). https://doi.org/10.1007/s10469-006-0037-0

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