The discussion revolves around proving that a group G is commutative under the condition that for all elements a in G, a squared equals the identity element e.
Some participants have made progress in understanding the relationships between the products of group elements, with one indicating they have reached a conclusion. However, the discussion remains open with various interpretations being explored.
There is a focus on the definitions and properties of group elements, particularly the identity element and the implications of the given condition on group structure.
margaret23 said:umm ok .. so i get that aabb must also =e .. but I am not sure how to get abab
It's (ab)(ab), so you know aabb = abab. Can you finish that?margaret23 said:umm ok .. so i get that aabb must also =e .. but I am not sure how to get abab