New answers tagged abstract-algebra
6
votes
Introduction of group action as morphism of groups
I prefer just to keep the language as simple as possible and the level of abstraction as low as the circumstances allow when teaching courses for students who see the material for the first time. So ...
- 1,329
4
votes
Introduction of group action as morphism of groups
Here are two reasons in favour of the definition as a map $G \times A \to A$ (whether they outweigh the reasons in favour of the group homomorphism definition is of course a judgement call).
With ...
- 1,170
Top 50 recent answers are included
Related Tags
abstract-algebra × 61undergraduate-education × 29
textbooks × 9
examples × 5
concept-motivation × 5
graduate-education × 5
algebra × 3
geometry × 3
course-design × 3
curriculum × 3
intuition × 3
secondary-education × 2
mathematical-pedagogy × 2
proofs × 2
mathematical-analysis × 2
terminology × 2
online-instruction × 2
reference-books × 2
applications × 2
visual-proof × 2
polynomials × 2
reference-request × 1
self-learning × 1
technology-in-education × 1
teaching × 1