2013年10月17日 · A nice set of generators for the automorphism group of a finite abelian group is described by Garrett Birkhoff in his paper titled "Subgroups of abelian groups", Proc. London …

2015年12月8日 · $\begingroup$ That's not true either -- such an automorphism always fixes a polarization on X, given by the restriction of the hyperplane from P^n. But general …

2015年8月29日 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …

2019年4月29日 · The object you've defined is not the group of automorphisms of $\mathbb{P}^n$; among other things, it is a group-valued functor, not a group.

2020年12月19日 · I am looking for an explicit example of a function field other than rational with an automorphism which fixes places of different degrees. Also, is there a counterexample, …

How does this group object $\operatorname{Sym}(X)$, if it exists, relate to the automorphism group $\operatorname{Aut}_C(X)$ (which is an actual group, not a group object)? We can also …

2016年4月8日 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …

The automorphism group $\mathrm{Aut}(\mathscr C)$ of a codebook is the subset of permutations on $\{1,2,\dotsc,n\}$ (which acts on $\Sigma^n$) that fix $\mathscr C$. Code …

2015年9月20日 · depending on whether the group is assumed to be the full automorphism group of the surface or only a subgroup of it. In my answer below I only assumed that the group was …

2024年2月17日 · If $\sigma$ is an automorphism of order $6$, then $\sigma^{2}$ has $3$ fixed points (by conjugation on the simple group) and $\sigma^{3}$ has $6$ fixed points, while …