Please solve a question quickly 1- *1) Let G be a group and H be a subgroup of G then :a = b mod H → b-1 * H = a-1 * H .truefalse2- *2) Let |G| = n and H a subgroup of G thenla, * H| = la2 * H| = |az * H| =Jan-1* H|.... =truefalse

Answered: Image /qna-images/answer/95e6ed39-adb0-401c-bdf8-3852ef00750c.jpg

1) Let G be a group and H be a subgroup of G then : a = b mod H + b-1 * H = a-1 * H . O true O false 2- * 2) Let |G|= n and H a subgroup of G then la, * H| = |a2 * H| = |az * H| = .- = |an-1* H| . %3D true O false

1) Let G be a group and H be a subgroup of G then : a = b mod H + b-1 * H = a-1 * H . O true O false 2- * 2) Let |G|= n and H a subgroup of G then la, * H| = |a2 * H| = |az * H| = .- = |an-1* H| . %3D true O false

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 14E: Let H be a subgroup of a group G. Prove that gHg1 is a subgroup of G for any gG.We say that gHg1 is...

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Question

Please solve a question quickly

1- *
1) Let G be a group and H be a subgroup of G then :
a = b mod H → b-1 * H = a-1 * H .
true
false
2- *
2) Let |G| = n and H a subgroup of G then
la, * H| = la2 * H| = |az * H| =
Jan-1* H|.
... =
true
false

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