Course - Groups and Group Actions HT23
This course introduced the idea of a group, which is a fundamental mathematical structure that can be thought of as the way of encoding all of the symmetries of something. It’s also the first time seeing the idea of a quotient, which shows up in lots of other courses. This means you can give precise meaning to statements like “the complex numbers without (‘mod’) the real numbers are just angles” ($\mathbb C / \mathbb R \cong S^1$).
- Course Webpage
- Lecture Notes
- Predecessor to: [[Course - Groups and Group Actions TT23]]U
- Other courses this term: [[Courses HT23]]U
- Related books:
Notes
- [[Notes - Groups HT23, Cayley tables]]U
- [[Notes - Groups HT23, Cosets]]U
- [[Notes - Groups HT23, Cyclic groups]]U
- [[Notes - Groups HT23, Equivalence relations]]U
- [[Notes - Groups HT23, Group axioms]]U
- [[Notes - Groups HT23, HCF and LCM]]U
- [[Notes - Groups HT23, Homomorphisms]]U
- [[Notes - Groups HT23, Lagrange’s theorem]]U
- [[Notes - Groups HT23, Modular arithmetic]]U
- [[Notes - Groups HT23, Normal subgroups]]U
- [[Notes - Groups HT23, Permutations]]U
- [[Notes - Groups HT23, Special groups]]U
- [[Notes - Groups HT23, Subgroups]]U