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Notes on Group Theory I, II


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1 Calcutta, India
     

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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.
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  • Notes on Group Theory I, II

Abstract Views: 256  |  PDF Views: 1

Authors

F. W. Levi
Calcutta, India

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.