From 9683928d32c323ce355a9fc80a724fc7f8abaa4e Mon Sep 17 00:00:00 2001
From: Cminorwhy <112066107+Cminorwhy@users.noreply.github.com>
Date: Tue, 19 Dec 2023 05:11:36 +0000
Subject: [PATCH] some changes

---
 .../1_The_Algebriac_Structure_of_Groups.md          | 13 +++++++------
 1 file changed, 7 insertions(+), 6 deletions(-)

diff --git a/study/Imperial_mathematics/year_2/Groups_and_Rings/Part_1_Groups/1_The_Algebriac_Structure_of_Groups.md b/study/Imperial_mathematics/year_2/Groups_and_Rings/Part_1_Groups/1_The_Algebriac_Structure_of_Groups.md
index 74f149ee8..4906ebc54 100644
--- a/study/Imperial_mathematics/year_2/Groups_and_Rings/Part_1_Groups/1_The_Algebriac_Structure_of_Groups.md
+++ b/study/Imperial_mathematics/year_2/Groups_and_Rings/Part_1_Groups/1_The_Algebriac_Structure_of_Groups.md
@@ -10,12 +10,13 @@ $$\gdef\N{\mathbb{N}}$$
 $$\gdef\Q{\mathbb{Q}}$$
 $$\gdef\F{\mathcal{F}}$$
 $$\gdef\iso{\overset{\sim}{=}}$$
-$$\gdef\ke{\operatorname{Ker}}$$
-$$\gdef\im{\operatorname{Im}}$$
-$$\gdef\lcm{\operatorname{lcm}}$$
-$$\gdef\gcd{\operatorname{gcd}}$$
-$$\gdef\ord#1{\operatorname{ord(#1)}}$$
-$$\gdef\sgn{\operatorname{sgn}}$$
+$$\gdef\ke{\textsf{Ker}}$$
+$$\gdef\im{\textsf{Im}}$$
+$$\gdef\lcm{\textsf{lcm}}$$
+$$\gdef\gcd{\textsf{gcd}}$$
+$$\gdef\mod{\textsf{mod}}$$
+$$\gdef\ord#1{\textsf{ord(#1)}}$$
+$$\gdef\sgn{\textsf{sgn}}$$
 $$\gdef\bluetext#1{\blue{\textsf{#1}}}$$
 $$\gdef\bluemath#1{\blue{\mathsf{#1}}}$$
 $$\gdef\def{\blue{\textsf{def}}}$$