Lattices of subgroup and subsystem functors |
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| Authors: | W Guo A N Skiba K P Shum |
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| Institution: | (1) Xuzhou Normal University, Xuzhou, China;(2) F. Skorina Gomel State University, Gomel, Belarus;(3) The Chinese University of Hong Kong, Hong Kong, China |
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| Abstract: | 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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| Keywords: | subsystem functor subgroup functor lattice of subsystem functors lattice of subgroup functors |
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