Results 1 to 2 of 2
Like Tree1Thanks
  • 1 Post By Deveno

Math Help - no. of subgroups

  1. #1
    Member
    Joined
    Jan 2011
    Posts
    83
    Thanks
    1

    no. of subgroups

    how many 2-sylow's subgroups are there in group of order 72. please explain
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Mar 2011
    From
    Tejas
    Posts
    3,381
    Thanks
    749

    Re: no. of subgroups

    72 = 23*32, so the 2-sylow subgroups are of order 8.

    the number of such subgroups is congruent to 1 mod 2, and is a divisor of 72. so the only possibilities are odd divisors of 72: 1,3 or 9.
    Thanks from saravananbs
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Subgroups and Normal Subgroups
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: April 19th 2012, 06:03 AM
  2. Groups, Subgroups and Normal Subgroups
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: March 28th 2012, 10:44 AM
  3. Subgroups and Intersection of Normal Subgroups
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: December 1st 2010, 08:12 PM
  4. subgroups and normal subgroups
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: March 19th 2010, 03:30 PM
  5. Subgroups and Normal Subgroups
    Posted in the Advanced Algebra Forum
    Replies: 4
    Last Post: December 9th 2009, 08:36 AM

Search Tags


/mathhelpforum @mathhelpforum