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March 4, 2024Open Access

Solvable and non-solvable finite groups of the same order type

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Abstract

We construct two finite groups: a solvable group G and a non-solvable group H, such that for every number n the groups have the same number of elements of order n. This answers a 1987 question of Thompson.

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Cite This Study

Paweł Piwek (2024) studied this question.

synapsesocial.com/papers/68e75ca9b6db6435876d40dd https://doi.org/10.48550/arxiv.2403.02197

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