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

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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Bibliographic Details
Published in:Archiv der Mathematik 2021-09, Vol.117 (3), p.241-251
Main Authors: Keller, Thomas Michael, Moretó, Alexander
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Summary: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.
ISSN:0003-889X
1420-8938
DOI:10.1007/s00013-021-01631-y