
Abstract Algebra Abstract Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
November 24th, 2016, 10:37 PM  #1 
Newbie Joined: Nov 2016 From: CA Posts: 2 Thanks: 0  Showing that an action of a group on a set is proper
Let X represent the set = {1,2,3,4,5,6,7,8} Then the elements of the symmetry group (Dihedral Group D8 ) permute the elements of the set. How do I show that the action of D8 on the set is proper? I understand that the group G must be a topological group (which is continuous) and so it must therefore be infinite. What I am stuck on is that the group is not infinite. I have used this website but I am unsure of what I am doing wrong. Thank you for reading. 

Tags 
action, group, proper, set, showing 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
proper stuck !!!!  ben 258  Algebra  2  February 22nd, 2015 09:21 AM 
what is the proper way to add fractions?  napninja4  Elementary Math  1  May 13th, 2011 02:44 PM 
G be a finite p group and H a proper subgroup, show that nor  johnmath  Abstract Algebra  1  March 1st, 2011 09:34 AM 
group action on set  tinynerdi  Abstract Algebra  4  March 11th, 2010 06:54 AM 
please help quickly about sylow thm and group action quest  bogazichili  Algebra  1  December 13th, 2008 07:13 AM 