1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Quick question about subgroups and external direct products

  1. Mar 8, 2010 #1

    wakko101

    User Avatar

    If A and B are groups, then A x B is a group....does the same hold for subgroups? i.e. if A' is a subgroup of A and B' for B, then is A' x B' a subgroup of A x B?

    Cheers,
    W. =)
     
    wakko101, Mar 8, 2010
  2. jcsd
    Phys.org - latest science and technology news stories on Phys.org
  3. Mar 8, 2010 #2

    Tinyboss

    User Avatar

    Well, does it contain the identity? Is it closed under multiplication (componentwise)? Inverses?
     
    Tinyboss, Mar 8, 2010
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook