Proposition: If (G,*) is a group, then ( cent(G),*) is a normal subgroup of (G,*) Proof

Proposition: If (G,) is a group, then ( cent(G),) is a normal subgroup of (G,*) Proof

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 15E: Find groups H and K such that the following conditions are satisfied: H is a normal subgroup of K. K...

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Proposition:
If (G,*) is a group, then ( cent (G),*) is a normal subgroup of
(G,+)
Proof
We proof that
1- cent(G) is a subgroup
2- cent(G)AG

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