Before voting down, I would this text to be read.
This is not exactly a question regarding a hint to solve an exercise of a list or an exam, but a question involving the possible utility of which is my favourite Mathematics branch: group theory. As far as I have heard, group theory has not as much applications as other branches such as Analysis, ODE and ODPs, or geometry. However, there is no doubt that there is a fundamental connection between abstract algebra and some parts of Analysis. Indeed, the largest proof in Mathematics is the one of the Theorem of Classification of Finite Simple Groups, here is a link: Classification of finite simple groups; which was completed in 2004 and supposed between 10000 and 20000 pages of mathematical skills projected in a bunch of documents.
Which applications have abstract algebra in general (not only group theory, but also ring theory, fields, modules, etc) in the professional world (without including teaching or research)? Is it possible to apply pure abstract algebra in a job, or is this just a drem?
2026-03-28 05:28:38.1774675718