论文标题
riemann表面和地图$ p+1 $ $ p $是PRIME
Groups of automorphisms of Riemann surfaces and maps of genus $p+1$ where $p$ is prime
论文作者
论文摘要
我们将$ g $属的紧凑型riemann表面分类，其中$ g-1 $是Prime $ p $，对于某些整数$ρ\ ge 1 $，它具有订单$ρ（g-1）$的一组自动形态，并确定相应的Jacobian品种的同学分解。这扩展了Belolipetzky的结果和第二位作者的成绩，价格为$ρ> 6 $，并以$ρ= 3、4、5 $和$ 6 $的第一和第三作者的成绩。作为推论，我们将$ p+1 $属的有价值的常规超图（包括地图）与不可定向的特征性$ -P $的常规超图一起，以及由Prime $ p $划分的自动形态订单组；这扩展了Conder，\ vSirá\ V n和Tucker的结果。
We classify compact Riemann surfaces of genus $g$, where $g-1$ is a prime $p$, which have a group of automorphisms of order $ρ(g-1)$ for some integer $ρ\ge 1$, and determine isogeny decompositions of the corresponding Jacobian varieties. This extends results of Belolipetzky and the second author for $ρ>6$, and of the first and third authors for $ρ=3, 4, 5$ and $6$. As a corollary we classify the orientably regular hypermaps (including maps) of genus $p+1$, together with the non-orientable regular hypermaps of characteristic $-p$, with automorphism group of order divisible by the prime $p$; this extends results of Conder, \v Sirá\v n and Tucker for maps.
