Can you give me an helicopter view on group theory. How does it relate to other disciplines of mathematics. What is the added value of group theory.
51108
Why should we care about groups at all?
26483
Group algebra ever a field?
75250
Importance of Representation Theory
34724
For $G$ a group and $H\unlhd G$, then $G$ is solvable iff $H$ and $G/H$ are solvable?
124107
Motivation behind the definition of ideal class group
55769
Why is there no functor $\mathsf{Group}\to\mathsf{AbGroup}$ sending groups to their centers?
41688
An elementary problem in Group Theory: the unique noncyclic group of order 4
35509
Noether's Theorem: Lie groups vs. Lie algebras; finite vs. infinitesimal symmetries
134872
Generators of $\text{GL}_{2}(\mathbb{Z})$ group, good reference book?
68733
If $G/Z(G)$ is cyclic then $G$ is abelian – what is the point?
149506
How much set theory and logic should typical algebraists/analysts/geometers know? (soft-question)
23279
Group Theory Isomorphism
27490
Group Theory in General Relativity
2458
Multiplicative group $(\mathbb R^*, ×)$ is group but $(\mathbb R, ×)$ is not group, why?
82899
Why the term and the concept of quotient group?
2529
Introductory Group theory textbook
151210
How can we find and categorize the subgroups of $\mathbb{R}$?