A short answer to this question is perhaps "symmetry", or one might specify the properties that define a group (closure, associativity etc.). But are there less precise and more general ways of describing group theory that someone could point me to --- ways that perhaps better express the universal flavour of this subject? Something along the lines of "group theory is a way of classifying changes among the elements of a set of similar entities"?(adsbygoogle = window.adsbygoogle || []).push({});

It's such an abstract subject that I find it as difficult to describe as say, the counting numbers.

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# What is group theory all about?

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