Question

definition of group?

Answer 1

What do you mean...?

Answer 2

group in maths?

Answer 3

A group \((G,\cdot)\) is a set \(G\) along with a binary operation \(\cdot\) that satisfies the *closure* (\(\forall a,b\in G\ \left(a\cdot b\in G\right)\)), *associativity* (\(\forall a,b,c\in G\ \left((a\cdot b)\cdot c=a\cdot(b\cdot c)\right)\)), *identity* (\(\exists! e\in G,\forall a\in G\left(e\cdot a=a\cdot e=a\right)\)), and *inverse* (\(\forall a\in G,\exists b\in G\left(a\cdot b=b\cdot a=e\right)\)) axioms.