Abstract
Let G be a Tarski-free group such that the join of all nonmodular subgroups of G is a proper subgroup in G. It is proved that G contains a finite normal subgroup N such that the quotient group G/N has a modular subgroup lattice.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, No. 10, pp. 1419 – 1423, October, 2004.
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de Mari, F. Groups with Few Nonmodular Subgroups. Ukr Math J 56, 1693–1698 (2004). https://doi.org/10.1007/s11253-005-0144-4
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DOI: https://doi.org/10.1007/s11253-005-0144-4