My Math Forum True or False

 Abstract Algebra Abstract Algebra Math Forum

 May 30th, 2017, 01:46 AM #1 Senior Member   Joined: Nov 2015 From: hyderabad Posts: 206 Thanks: 2 True or False In a Group $G$ if $\displaystyle a \in G$ , $a^7=e$ and $a^9=e$ then $a=e$ ? I guess it is true. Someone help! Thank you
 May 30th, 2017, 02:28 AM #2 Global Moderator   Joined: Dec 2006 Posts: 18,137 Thanks: 1415 $a = e^5a = (a^7)^5a = a^{36} = (a^9)^4 = e$
 May 30th, 2017, 05:55 AM #3 Member   Joined: Jan 2016 From: Athens, OH Posts: 58 Thanks: 34 In a group, if $a^n=e$, then the order of a divides n -- if d is the order write \$n=dq+r\text{ with }0\leq r

 Tags false, true

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post gimmeanswerspleaseee Algebra 4 April 27th, 2016 07:39 AM kingkos Algebra 1 January 6th, 2014 06:18 AM bOw Algebra 2 May 27th, 2012 01:39 PM outsos Abstract Algebra 5 April 4th, 2012 12:56 PM sam_17 Algebra 10 December 31st, 1969 04:00 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top