Define "represented subgroup".

Signed-off-by: Daira Hopwood <daira@jacaranda.org>
This commit is contained in:
Daira Hopwood 2018-08-12 16:57:23 +01:00
parent 36bcc8f3f0
commit 324d634a29
1 changed files with 2 additions and 1 deletions

View File

@ -3350,7 +3350,8 @@ A \representedGroup $\GroupG{}$ consists of:
\end{itemize}
\vspace{-1.5ex}
Define $\SubgroupG{}$ as the order-$\ParamG{r}$ subgroup of $\GroupG{}$. Note that this includes $\ZeroG{}$.
Define $\SubgroupG{}$ as the order-$\ParamG{r}$ subgroup of $\GroupG{}$, which is called a
\representedSubgroup. Note that this includes $\ZeroG{}$.
For the set of points of order $\ParamG{r}$ (which excludes $\ZeroG{}$), we write $\SubgroupGstar{}$.
Define $\SubgroupReprG := \setof{\reprG{}(P) \typecolon \ReprG{} \suchthat P \in \SubgroupG{}}$.