If θ is a subgroup property, a group G is said to satisfy the double chain condition on θ-subgroups if it admits no infinite double sequences · · · < X−n < · · · < X−1 < X0 < X1 < · · · < Xn < · · · consisting of θ-subgroups. The structure of generalized radical groups satisfying the double chain condition on non-abelian subgroups is described.
Groups Satisfying the Double Chain Condition on Non-Abelian Subgroups
A. Russo
2020
Abstract
If θ is a subgroup property, a group G is said to satisfy the double chain condition on θ-subgroups if it admits no infinite double sequences · · · < X−n < · · · < X−1 < X0 < X1 < · · · < Xn < · · · consisting of θ-subgroups. The structure of generalized radical groups satisfying the double chain condition on non-abelian subgroups is described.File in questo prodotto:
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