A note on a metric associated to certain finite groups

zbMATH Open1424.20011arXiv1506.08296MaRDI QIDQ5379572

Marius Tărnăuceanu

Publication date: 12 June 2019

Abstract: In this short note we introduce a new metric on certain finite groups. It leads to a class of groups for which the element orders satisfy an interesting inequality. This extends the class CP_2 studied in our previous paper [16].

Full work available at URL: https://arxiv.org/abs/1506.08296

zbMATH Keywords

finite groupsmetricselement ordersCP-groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Special subgroups (Frattini, Fitting, etc.) (20D25) General structure theorems for groups (20E34) Finite nilpotent groups, (p)-groups (20D15)

Related Items (3)

Metric properties of Diestel-Leader groups. ⋮ A note of \(\mathrm{CP}_{2}\) groups ⋮ Invariant metrics on finite groups

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