SL_2（F_q）的第二对称幂表示的不变量
The invariants of the second symmetric power representation of SL_2(F_q)
摘要：
对于素数p>2和q=p^n，我们计算了第二对称幂表示的SL 2（F q）-不变量的有限生成集，证明了不变量是超曲面，分数域是系数域的纯超越扩张.作为中间结果，我们证明了Sylow p-子群的不变量也是超曲面。
英文摘要：
For a prime p>2 and q=p^n, we compute a finite generating set for the SL_2(F_q)-invariants of the second symmetric power representation, showing the invariants are a hypersurface and the field of fractions is a purely transcendental extension of the coefficient field. As an intermediate result, we show the invariants of the Sylow p-subgroups are also hypersurfaces.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
