Let (H,*) be a subgroup of a group (G,*) the relation of congruence modulo a subgroup H, .=. mod H is an equivalence relation on (G,*).

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.3: Subgroups
Problem 44E: 44. Let be a subgroup of a group .For, define the relation by ...
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Let (H,*) be a subgroup of a group (G,*) the relation of
congruence modulo a subgroup H, . =. mod H is an equivalence
relation on (G,*).
Transcribed Image Text:Let (H,*) be a subgroup of a group (G,*) the relation of congruence modulo a subgroup H, . =. mod H is an equivalence relation on (G,*).
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