G is a group and H is a normal subgroup of G. List the elements of...

G is a group and H is a normal subgroup of G. List the elements of G/H and then write the table of G/H.

1. G=Z10, H= {0,5}. (Explain why G/H is congruent to Z5)

2. G=S4 and H= {e, (12)(34), (13)(24), (14)(23)

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Colby Messinger answered 1 month ago

Let G be a group and K ⊂ G be a normal subgroup. Let H ⊂...

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Prove that a subgroup H of a group G is normal if and only if gHg−1 =H for all g∈G

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Given a group G with a subgroup H, define a binary relation on G by a...

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G is a group and H is a normal subgroup of G. List the elements of...

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