Question

How many properties can be held by a group? ​

Answer 1

Answer:

A group is a monoid with an inverse element. The inverse element (denoted by I) of a set S is an element such that (aοI)=(Iοa)=a, for each element a∈S. So, a group holds four properties simultaneously - i) Closure, ii) Associative, iii) Identity element, iv) Inverse element.