I have to say that this article http://arxiv.org/abs/1506.00887 has at least one mistake
Lemma 3.5 Counterexample - take group G=sequences of integer numbers
l and m are right and left shift respectively
m*l=id, so Image(e)=G
I have to say that this article http://arxiv.org/abs/1506.00887 has at least one mistake
Lemma 3.5 Counterexample - take group G=sequences of integer numbers
l and m are right and left shift respectively
m*l=id, so Image(e)=G