Group Actions Part 3

[@malayali_m]

100th like from me!

[@gangamuthusamy8747]

This video lecture awsome.
Could you please suggest free e-book for the topic Group actions. Please

[@darrenpeck156]

Is this a homomorphism between the group and the group action?

[@debendragurung3033]

Property 1) g1 . (g2 .a) = (g1og2). a and
Property 2)e.a = a, where e ∈ G, and a ∈ A are the property of the group Action of {(g,a): g ∈G, a∈A}.
is the third property of double inverse also the necessary property of Group Action or is specail case?

[@kuhanpei443]

is elements of set A which g actiing on were also permutations?

[@vitormachado476]

It's just a consequence of Property 1 taking g2 = (g1)^{-1}