
Abstract Algebra Abstract Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
February 14th, 2018, 04:40 AM  #1 
Member Joined: Jan 2016 From: Blackpool Posts: 97 Thanks: 2  Group order quick question
today my lecturer wrote: let G be a subgrup such that $G\in S_{4}$. Then G=24 How did he he know it was 24 straight away? Thanks. 
February 14th, 2018, 05:41 AM  #2 
Senior Member Joined: Oct 2009 Posts: 490 Thanks: 164 
You mean a subgroup of $S_4$? Those don't need to have order $24$ at all... Maybe he means $S_4 = 24$. This is because in general, $S_n = n!$. This is a combinatorial argument. 

Tags 
group, order, question, quick 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Quick question regarding maths order of operations  GOAT  Algebra  7  October 11th, 2014 08:51 AM 
Quick question: Coupled first order differentials, correct?  philip  Calculus  1  September 17th, 2013 07:31 AM 
Quick order of operations question  daigo  Algebra  1  May 17th, 2012 02:59 PM 
Proof that group of order 2k containts order k subgroup  Kappie  Abstract Algebra  0  April 22nd, 2012 01:52 PM 