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arXiv · 2609.26471

A Counterexample to a Conjecture of Moreto

Gang Chen·Wenhua Zhao
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Abstract

As an extension of the It^o-Michler theorem to the nonabelian or nonnormal Sylow subgroups, A. Moreto raised the following conjecture: let G be a finite group and P a Sylow p-subgroup of G. Then the number of irreducible characters of G whose degrees are divisible by p is not less than the length of any subgroup chain between N_G(P) and G. In this short note, we give a counterexample to this conjecture.

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Gang Chen, Wenhua Zhao. 2026-09-22. A Counterexample to a Conjecture of Moreto. https://arxiv.org/abs/2609.26471

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