Notes on Group Theory I, II Jump To References Section Authors F. W. Levi Calcutta ,IN DOI: https://doi.org/10.18311/jims/1944/17081 Abstract Let {m} be the mapping by which every element a of a group G is represented by its mth power am, then {o} and {1} are endomorphisms for every group, whereas {- 1} and {2} are endomorphisms if and only if G is an Abelian group.