My Math Forum Prove function is cyclic with generator help
 User Name Remember Me? Password

 Abstract Algebra Abstract Algebra Math Forum

 October 19th, 2016, 01:51 PM #1 Newbie   Joined: Oct 2016 From: USA Posts: 2 Thanks: 0 Prove function is cyclic with generator help How do I show that the group is cyclic with generator Θ(g). Θ(G)={Θ(x)| x∈G} if: G and G′ be groups and let Θ : G → G′be a homomorphism. Assume G is cyclic with generator g .
 October 23rd, 2016, 03:21 AM #2 Math Team   Joined: Jan 2015 From: Alabama Posts: 3,092 Thanks: 845 Do you mean: "if G is a cyclic group. with generator g, and there exist a homomorphism Θ such that G'= Θ(G), then G' is also cyclic with generator Θ(g)"? As I said in the previous thread, this follows pretty much from the basic definitions. Do you know them? Since you have shown no attempt yourself to do this problem, that is not clear. Do you know what "cyclic" means? Do you know what "homomorphism" means? (And how a "homomorphism" is different from an "isomorphism"?). Write out those definitions and think about how to apply them.
October 23rd, 2016, 06:08 AM   #3
Senior Member

Joined: Feb 2016
From: Australia

Posts: 1,578
Thanks: 537

Math Focus: Yet to find out.
Quote:
 Originally Posted by Country Boy Do you know what "cyclic" means?
I sure haven't missed your bolding in your absence.

 Tags cyclic, function, generator, prove

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post Jinliang Calculus 2 May 12th, 2016 04:30 PM brhum Geometry 2 January 25th, 2015 09:24 AM krausebj0 Number Theory 1 June 22nd, 2013 01:42 AM MATHS FRIEND Algebra 13 August 7th, 2012 05:19 PM asoracc Abstract Algebra 2 February 27th, 2011 07:03 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top

Copyright © 2018 My Math Forum. All rights reserved.