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Character degrees, conjugacy class sizes, and element orders: three primes

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There are many results that give information on the structure of a finite group in terms of properties that refer to its character degrees (or class sizes or element orders) and at most two primes. In this note, we try to extend some of these results considering three primes.

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Correspondence to Alexander Moretó.

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The second author’s research is supported by Ministerio de Ciencia e Innovación PID-2019-103854GB-100, FEDER funds and Generalitat Valenciana AICO/2020/298. We thank the referee for her/his careful reading of the paper that has allowed us to improve its readability.

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Keller, T.M., Moretó, A. Character degrees, conjugacy class sizes, and element orders: three primes. Arch. Math. 117, 241–251 (2021). https://doi.org/10.1007/s00013-021-01631-y

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  • DOI: https://doi.org/10.1007/s00013-021-01631-y

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