
Abstract Algebra Abstract Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
December 4th, 2016, 02:39 AM  #1 
Member Joined: Oct 2013 Posts: 36 Thanks: 1  Last nontrivial group in the derived series of a solvable group
I was wondering if there were any special properties of the group $G^{(i1)}$ 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. ?


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 11:19 AM 
solvable Group of matrices over Z_p  Sandra93  Abstract Algebra  7  November 4th, 2013 12:05 PM 
Minimal Normal subgroup of a solvable group  SonicYouth  Abstract Algebra  3  March 13th, 2011 12:31 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 