Abstract
An earlier conjecture suggests that the lattice of centralizers is modular in the title groups. We prove it to hold for two classes of groups whose lattice of centralizers has finite length — groups with the normalizer condition and locally finite groups.
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Translated fromAlgebra i Logika, Vol. 33, No. 5, pp. 475–513, September–October, 1994.
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Antonov, V.A. Groups whose lattice of centralizers is a sublattice of the subgroup lattice. Algebr Logic 33, 265–286 (1994). https://doi.org/10.1007/BF00739569
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DOI: https://doi.org/10.1007/BF00739569