Lower bound for the number of conjugacy classes and irreducible characters

作者：Gao, Yinling; Yang, Yong^*

来源：Monatshefte für Mathematik, 2024, 203(2): 341-355.

DOI：10.1007/s00605-023-01860-z

• Finite groups
• Odd-degree representations
• Characters
• Coprime action

In this paper, we give a lower bound for the class number of the semidirect product of an odd-order group acting coprimely on an abelian p-group. For a prime p and a Sylow p-subgroup P of a finite group G, we also obtain an explicit lower bound for the number of p'-degree irreducible characters of G in terms of |P/P'|.

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