在這篇碩士論文中，主要是針對G. Navarro的一些著作的彙整與分析。第一章介紹基礎的群表現內容、第二章介紹McKay猜想以及其它相關的一些猜想、第三章主要是提到2007年由M. Issacs 和 G. Malle與 G. Navarro三人合力證明McKay猜想的約化定理，第四章是探討Block理論下的McKay猜想，而最後一章則是把Mckay猜想與Galois理論做結合。

In this master's thesis, we mainly study the G. Navarro's academic publish and his book. The first chapter introduce the elementary of representation theory and character theory. The second chapter give McKay conjecture an introduction, and talk about its refinements. Third chapter is an easy introduction of the reduction theorem of McKay conjecture, which published by I. Martin, G. Malle and G. Navarro in 2007. The fourth chapter discuss the deep version of McKay conjecture under block theory. Finally, the last chapter give a combination of McKay conjecture and Galois theory

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