Solution Found!
Let G be a group with identity eG and let H be a group
Chapter 8, Problem 3E(choose chapter or problem)
QUESTION:
Let G be a group with identity \(e_G\) and let H be a group with identity \(e_H\). Prove that G is isomorphic to \(G \oplus \{e_H\}\) and that H is isomorphic to \(\{e_G\} \oplus H\).
Questions & Answers
QUESTION:
Let G be a group with identity \(e_G\) and let H be a group with identity \(e_H\). Prove that G is isomorphic to \(G \oplus \{e_H\}\) and that H is isomorphic to \(\{e_G\} \oplus H\).
ANSWER:Step 1 of 4
Given that and groups with identity elements and respectively. To prove and .