From 324d634a296f985cfaad532c29b5700aedc5740d Mon Sep 17 00:00:00 2001 From: Daira Hopwood Date: Sun, 12 Aug 2018 16:57:23 +0100 Subject: [PATCH] Define "represented subgroup". Signed-off-by: Daira Hopwood --- protocol/protocol.tex | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/protocol/protocol.tex b/protocol/protocol.tex index 5dc99411..537fe539 100644 --- a/protocol/protocol.tex +++ b/protocol/protocol.tex @@ -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 $\SubgroupReprG := \setof{\reprG{}(P) \typecolon \ReprG{} \suchthat P \in \SubgroupG{}}$.