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Groups satisfying the double chain condition on subnormal subgroups

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Abstract

If \(\theta \) is a subgroup property, a group G is said to satisfy the double chain condition on \(\theta \)-subgroups if it admits no infinite double sequences

$$\begin{aligned} \cdots <X_{-n}<\cdots <X_{-1}<X_0<X_1<\cdots <X_n<\cdots \end{aligned}$$

consisting of \(\theta \)-subgroups. The structure of generalized soluble groups satisfying the double chain condition on subnormal subgroups is described.

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Correspondence to Francesco de Giovanni.

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Brescia, M., de Giovanni, F. Groups satisfying the double chain condition on subnormal subgroups. Ricerche mat. 65, 255–261 (2016). https://doi.org/10.1007/s11587-016-0277-9

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  • DOI: https://doi.org/10.1007/s11587-016-0277-9

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