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QUESTION7 Let g be a fixed element of a group G.Prove that H = {x EG: gx = xg } is a subgroup of G.

QUESTION7 Let g be a fixed element of a group G.Prove that H = {x EG: gx = xg } is a subgroup of G.

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.4: Cosets Of A Subgroup
Problem 25E: If H and K are arbitrary subgroups of G, prove that HK=KH if and only if HK is a subgroup of G.
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Abstract Algebra I
QUESTION 7 Let g be a fixed element of a group G.Prove that H = {x EG: gx = xg } is a subgroup of G.
Transcribed Image Text:QUESTION 7 Let g be a fixed element of a group G.Prove that H = {x EG: gx = xg } is a subgroup of G.
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