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arXiv · 1802.00909

Brauer characters and normal Sylow $p$-subgroups

Hung P. Tong-Viet
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Abstract

In this paper, we study some variations of the well-known It\^{o}-Michler theorem for $p$-Brauer characters using various inequalities involving the $p$-Brauer character degrees of finite groups. Several new criteria for the existence of a normal Sylow $p$-subgroup of finite groups are obtained using the $p$-parts and $p'$-parts of the $p$-Brauer character degrees.

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Hung P. Tong-Viet. 2018-02-03. Brauer characters and normal Sylow $p$-subgroups. https://arxiv.org/abs/1802.00909

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