A B Sqrt 2

Let be the set . Please show

1. that is a group under addition. We will denote this group .
2. and that is abelian
3. that is a group under multiplication. We will denote this group as .

• There are more properties, I will add them later. I'm going to add all the properties of a field.

problem.a_b_sqrt_2.tex

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% DEPENDENCIES
% RequiredPackages: \usepackage{tikz}
% RequiredMacros: \DeclareMathOperator{\aut}{Aut} 
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\begin{problem}
Type the problem code here.
\end{problem}

• Dihedral group