Abstract
A group G satisfies the weak maximality condition for nonnilpotent subgroups [or, briefly, the Wmax-(nonnil) condition if G does not have infinite increasing chains {H n | n ∈ ℕ} of nonnilpotent subgroups such that the indices |H n+1: H n | are infinite for each n ∈ ℕ. We study the structure of hypercentral groups satisfying the weak maximality condition for nonnilpotent subgroups.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, No. 8, pp. 1068–1083, August, 2006.
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Kurdachenko, L.A., Semko, N.N. Groups with weak maximality condition for nonnilpotent subgroups. Ukr Math J 58, 1209–1222 (2006). https://doi.org/10.1007/s11253-006-0129-y
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DOI: https://doi.org/10.1007/s11253-006-0129-y