The Gateway to Computer Science Excellence
First time here? Checkout the FAQ!
x
+1 vote
92 views

For a group $G$, let Aut(G) denote the group of automorphisms of $G$. Which of the following statements is true?

  1. Aut$(\mathbb{Z})$ is isomorphic to $\mathbb{Z}_{2}$
  2. If $G$ is cyclic, then Aut $(G)$ is cyclic.
  3. If Aut (G) is trivial, then $G$ is trivial.
  4. Aut $(\mathbb{Z})$ is isomorphic to $\mathbb{Z}$ 
asked in Set Theory & Algebra by Boss (29.5k points) | 92 views

Please log in or register to answer this question.

Related questions

Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true
49,811 questions
54,529 answers
188,403 comments
75,480 users