Solvable group of matrices?

  • Thread starter mrbohn1
  • Start date
  • #1
97
0
I'm looking at solutions to an algebra qualifying exam someone has posted on the web; the page is here:

http://mathwiki.gc.cuny.edu/index.php/Spring_2007_Algebra_Qualifier" [Broken]

I'm looking at problem 2.

Is this solution OK? The author has not addressed the necessary condition that the solvable series has cyclic quotient groups, and I'm not sure that the series he has constructed does.
 
Last edited by a moderator:

Answers and Replies

  • #2
morphism
Science Advisor
Homework Helper
2,015
4
Try to prove this: Let G be a finite group. If G has a solvable series where the quotients are all abelian, then G has a solvable series where the quotients are all cyclic.
 

Related Threads on Solvable group of matrices?

  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
6
Views
2K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
5
Views
3K
  • Last Post
Replies
6
Views
6K
Replies
2
Views
2K
Replies
3
Views
1K
Replies
3
Views
1K
Top