From 10db0a370c09b77f4d84d4cf021e6b3b0d2a2182 Mon Sep 17 00:00:00 2001 From: Cminorwhy <112066107+Cminorwhy@users.noreply.github.com> Date: Thu, 6 Jun 2024 16:46:06 +0100 Subject: [PATCH] change some notes --- .../Imperial_mathematics/year_2/Groups_and_Rings/main.md | 8 -------- 1 file changed, 8 deletions(-) diff --git a/study/Imperial_mathematics/year_2/Groups_and_Rings/main.md b/study/Imperial_mathematics/year_2/Groups_and_Rings/main.md index 9b38030d2..679d2401b 100644 --- a/study/Imperial_mathematics/year_2/Groups_and_Rings/main.md +++ b/study/Imperial_mathematics/year_2/Groups_and_Rings/main.md @@ -13,14 +13,6 @@ layout: simple > >

——— Pierre de la Harpe, Topics in Geometric Group Theory

-#### Notations - -- The **set of all prime numbers** $$\wras \P$$ $$\textcolor{\blue}{:=} \{p \in \N \mid p$$ is a prime number $$\}$$ - -- $$\N^{+} \textcolor{\blue}{:=} \{1, 2, 3, 4 \ldots\}$$. - -- The **quotient set defined an equivalence relation $$\sim$$** $$\textcolor{\blue}{=:}$$ $$X / \sim$$ $$\textcolor{\blue}{:=} $$ $$\left\{[x]_\sim \mid x \in X\right\}$$ where $$[x]_\sim$$ is **the equivalence class of $$x$$** \textcolor{blue}{:=} $$\{y\in X \mid y \sim x\}$$. - #### [Part I. Group Theory](/study/Imperial_mathematics/year_2/Groups_and_Rings/Part_I_Group_Theory/main) #### [Part II. Ring Theory]() \ No newline at end of file