My Math Forum  

Go Back   My Math Forum > College Math Forum > Abstract Algebra

Abstract Algebra Abstract Algebra Math Forum


Reply
 
LinkBack Thread Tools Display Modes
March 31st, 2010, 04:53 AM   #1
Newbie
 
Joined: Mar 2010

Posts: 3
Thanks: 0

size of Hom(Z,Z/2Z)

I have seen that there exists two group homomorphisms from Z to Z/2Z. However, I cannot seem to understand this. I mean I know that there exists a trivial grp hom. which sends all of Z to 0 in Z/2Z. But I cannot think of anymore. Any help?
jakelyon is offline  
 
April 2nd, 2010, 01:40 PM   #2
Member
 
Joined: Mar 2010

Posts: 32
Thanks: 0

Re: size of Hom(Z,Z/2Z)

Answered on physicsforums.com.

(It's best if you have a satisfactory answer on another forum to say so in this forum to save duplication of effort.)
Martin Rattigan is offline  
April 3rd, 2010, 01:48 AM   #3
Senior Member
 
Joined: Dec 2009

Posts: 150
Thanks: 0

Re: size of Hom(Z,Z/2Z)

Map even numbers to zero, and odd ones to 1. No two even numbers can add to be odd, but odd numbers always add to be even, while odd + even or even + odd gives you an odd number. Compare this with adding 0 and 1 modulo 2.
forcesofodin is offline  
April 3rd, 2010, 09:47 AM   #4
Senior Member
 
Joined: Oct 2007
From: Chicago

Posts: 1,701
Thanks: 3

Re: size of Hom(Z,Z/2Z)

Even though this has been answered, I'm moving it to the algbera section, where it fits better.
cknapp is offline  
Reply

  My Math Forum > College Math Forum > Abstract Algebra

Tags
homz, size, z or 2z



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Set size is relative - Same topology of negative size sets BenFRayfield Applied Math 4 December 21st, 2013 10:58 PM
sample size Engr Faisal hbaib Advanced Statistics 0 November 23rd, 2013 06:25 PM
Sample Size and Std Dev jskrzy Algebra 1 November 16th, 2011 04:17 PM
Sample Size symmetry Advanced Statistics 0 March 30th, 2007 04:09 PM
size of Hom(Z,Z/2Z) jakelyon Real Analysis 3 December 31st, 1969 04:00 PM





Copyright © 2019 My Math Forum. All rights reserved.