Results 1 to 4 of 4

Math Help - group terminology

  1. #1
    Banned
    Joined
    Mar 2011
    Posts
    118

    group terminology

    what is the group Z6 and the group Z3 x Z2. the numbers are subscripts btw
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Banned
    Joined
    Oct 2009
    Posts
    4,261
    Quote Originally Posted by poirot View Post
    what is the group Z6 and the group Z3 x Z2. the numbers are subscripts btw

    Both are one and the same: the cyclic group of order 6 .

    Tonio
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Banned
    Joined
    Mar 2011
    Posts
    118
    Quote Originally Posted by tonio View Post
    Both are one and the same: the cyclic group of order 6 .

    Tonio
    are they integers under addition, for example or is it just any cyclic group order 6? Thats what i'm after.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Banned
    Joined
    Oct 2009
    Posts
    4,261
    Quote Originally Posted by poirot View Post
    are they integers under addition, for example or is it just any cyclic group order 6? Thats what i'm after.

    \mathbb{Z}_n is a group under addition modulo n, and \mathbb{Z}_2\times \mathb{Z}_3 is a group under

    coordinatewise addition. Anyway, they both are isomorphic to a (or the, if you will) cyclic group of order 6.

    Tonio
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. terminology...
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: August 20th 2011, 06:21 AM
  2. [SOLVED] Terminology
    Posted in the Statistics Forum
    Replies: 10
    Last Post: February 2nd 2011, 06:24 PM
  3. terminology
    Posted in the Calculus Forum
    Replies: 2
    Last Post: November 8th 2009, 02:08 PM
  4. Replies: 6
    Last Post: October 26th 2009, 03:06 AM
  5. A terminology problem
    Posted in the Calculus Forum
    Replies: 2
    Last Post: June 27th 2007, 08:11 AM

Search Tags


/mathhelpforum @mathhelpforum