Re: MATH2601 Linear Algebra/Group Theory Questions
G\text{ is a group and }a\in G.\text{ Proven in a) }\{a^k \mid k \in \mathbb{Z}\}\text{ is a subgroup of }G
\text{Proven in b) if }H\text{ is finite, then }\exists m \in \mathbb{Z}^+:\\ a^m=e\text{ and }H=\{e,a,a^2,\dots,a^{m-1}\}...