My Math Forum  

Go Back   My Math Forum > College Math Forum > Abstract Algebra

Abstract Algebra Abstract Algebra Math Forum


Reply
 
LinkBack Thread Tools Display Modes
December 4th, 2016, 03:39 AM   #1
Member
 
Joined: Oct 2013

Posts: 35
Thanks: 0

Last non-trivial group in the derived series of a solvable group

I was wondering if there were any special properties of the group $G^{(i-1)}$ if $i$ is the smallest such integer such that $G^{(i)}$ is trivial for $G$ solvable. Clearly it must be abelian, but is it for example elementary abelian, can it contain a subgroup which is normal in $G$ etc. ?
fromage is offline  
 
Reply

  My Math Forum > College Math Forum > Abstract Algebra

Tags
derived, group, nontrivial, series, solvable, trivial



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Group Theory Proofs, least common multiples, and group operations HELP! msv Abstract Algebra 1 February 19th, 2015 12:19 PM
solvable Group of matrices over Z_p Sandra93 Abstract Algebra 7 November 4th, 2013 01:05 PM
Minimal Normal subgroup of a solvable group SonicYouth Abstract Algebra 3 March 13th, 2011 01:31 AM
Group of units of Z/pZ is a cyclic group sunflower Abstract Algebra 0 October 15th, 2010 01:20 PM
fundamental group, free group mingcai6172 Real Analysis 0 March 21st, 2009 02:35 PM





Copyright © 2017 My Math Forum. All rights reserved.