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The order classes of 2-generator \(p\)-groups. (English) Zbl 1435.20025
Summary: In order to classify a finite group using its elements orders, the order classes are defined. This partition determines the number of elements for each order. The aim of this paper is to find the order classes of 2-generator \(p\)-groups of class 2. The results obtained here are supported by Groups, Algorithm and Programming (GAP).
MSC:
20D15 Finite nilpotent groups, \(p\)-groups
20D60 Arithmetic and combinatorial problems involving abstract finite groups
20-08 Computational methods for problems pertaining to group theory
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