论文标题
线性化多项式，GALOIS组和对称功率模块
Linearized Polynomials, Galois Groups and Symmetric Power Modules
论文作者
论文摘要
我们在诸如$ \ mathbb {f} _q（t）$之类的字段上研究了一些线性化多项式的GALOIS组。这种多项式的根源是其Galois组的模块。我们介绍了该模块的对称力量的实现，这是另一个线性多项式的分裂场的子空间。
We investigate some Galois groups of linearized polynomials over fields such as $\mathbb{F}_q(t)$. The space of roots of such a polynomial is a module for its Galois group. We present a realization of the symmetric powers of this module, as a subspace of the splitting field of another linearized polynomial.
