Are they isomorphic?
-
- Former Team Member
- Posts: 4
- Joined: Wed Nov 11, 2015 7:18 am
Are they isomorphic?
Let \(G\) and \(H\) be groups such that there exist monomorphisms \(\varphi : G \longrightarrow H\) and \(\psi : H \longrightarrow G\). In each of the following cases, determine whether the groups \(G\) and \(H\) are isomorphic:
(a) \(G\) and \(H\) are abelian groups.
(b) \(G\) and \(H\) are finitely generated abelian groups.
(a) \(G\) and \(H\) are abelian groups.
(b) \(G\) and \(H\) are finitely generated abelian groups.
Create an account or sign in to join the discussion
You need to be a member in order to post a reply
Create an account
Not a member? register to join our community
Members can start their own topics & subscribe to topics
It’s free and only takes a minute
Sign in
Who is online
Users browsing this forum: No registered users and 0 guests