论文标题
具有三个非线性不可还原字符代码的不可探测的组
Nonsolvable groups with three nonlinear irreducible character codegrees
论文作者
论文摘要
对于有限组$ g $的不可约字符$χ$，$χ$的代码为$ | g：\ ker（χ）|/χ（1）$。在本文中，我们确定有限的非隔离组，恰好具有三个非线性不可约的字符代码，并且它们是$ \ mathrm {l} _2（2^f）$ for $ f \ ge 2 $，$ \ mathrm {pgl} _2（q）_2（q）_2（q）_2 _2（q）的$ q \ ge 5 $或$ $ \ $ \ $ \} c {m} 10}
For an irreducible character $χ$ of a finite group $G$, the codegree of $χ$ is defined as $|G:\ker(χ)|/χ(1)$. In this paper, we determine finite nonsolvable groups with exactly three nonlinear irreducible character codegrees, and they are $\mathrm{L}_2(2^f)$ for $f\ge 2$, $\mathrm{PGL}_2(q)$ for odd $q\ge 5$ or $\mathrm{M}_{10}$.
