Subgroup H of a group G is a normal subgroup of G if and only if the product of t right cosets of H in G is again a right coset of H in G.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.5: Normal Subgroups
Problem 27E: 27. Suppose is a normal subgroup of order of a group . Prove that is contained in , the center of...
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Subgroup H of a group G is a normal subgroup of G if and only if the product of two
right cosets
of H in G is again a right coset of H in G.
Transcribed Image Text:Subgroup H of a group G is a normal subgroup of G if and only if the product of two right cosets of H in G is again a right coset of H in G.
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