constructing a cayley table


by Benzoate
Tags: cayley, constructing, table
Benzoate
Benzoate is offline
#1
Aug29-07, 08:57 PM
P: 569
1. The problem statement, all variables and given/known data


Construct a cayley table for U(12)
2. Relevant equations

No equations necessary for this kind of table


3. The attempt at a solution

I could construct a cayley table , but I have no idea how to determine what elements are in U(12). What method would you apply hear to find the elements of the group U(12). My textbook does a poor job of explaining exactly how to determine what elements and how many elements are in U(12)
Phys.Org News Partner Science news on Phys.org
Going nuts? Turkey looks to pistachios to heat new eco-city
Space-tested fluid flow concept advances infectious disease diagnoses
SpaceX launches supplies to space station (Update)
d_leet
d_leet is offline
#2
Aug30-07, 12:39 AM
P: 1,076
Is U(12) supposed to be the group of units modulo 12? If so then what elements are units in the group Z12? Maybe a better question is what is a unit?
Benzoate
Benzoate is offline
#3
Aug30-07, 07:26 AM
P: 569
Quote Quote by d_leet View Post
Is U(12) supposed to be the group of units modulo 12? If so then what elements are units in the group Z12? Maybe a better question is what is a unit?
when you say elements in Z(sub 12) do you mean the multiples of 12(i.e, 12,24,36, etc)

matt grime
matt grime is offline
#4
Aug30-07, 08:24 AM
Sci Advisor
HW Helper
P: 9,398

constructing a cayley table


That would be 12Z. Z_{12} is, in this case Z/12Z, or the set {0,1,2...,11} with addition and multiplcation mod 12. U_12 is the subset ot Z/12Z of elements that are units, i.e. it is the set of numbers in {0,1,..,11} that a coprime with 12, with the group operation of multiplication.

Frequently, if you are short of a definition, then google will give the answer.


Register to reply

Related Discussions
Constructing a Table. (Radioactivity) General Physics 2
Cayley digraph Calculus & Beyond Homework 0
cayley hamilton Linear & Abstract Algebra 7
Deligne Dam of Cayley River Calculus & Beyond Homework 2
cayley - hamilton theorem Linear & Abstract Algebra 7