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November 19th, 2013, 05:24 AM  #1 
Newbie Joined: Aug 2010 Posts: 27 Thanks: 0  How to find cyclic subgroup from Cayley's Table 
November 19th, 2013, 05:50 AM  #2 
Math Team Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory  Re: How to find cyclic subgroup from Cayley's Table
This seems pretty elementary matter. Can you show us what you've tried? Is there any particular point where you are stuck? Perhaps you're not hoping to get all the "tedious hard" workings from us and "cheat" somewhere someplace? 
November 19th, 2013, 05:52 AM  #3 
Newbie Joined: Aug 2010 Posts: 27 Thanks: 0  Re: How to find cyclic subgroup from Cayley's Table
i don't know where to start. Is it i have to find abelian subgroup? But group with 8 elements has a lot of subgroups, am i right?

November 19th, 2013, 05:54 AM  #4  
Math Team Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory  Re: How to find cyclic subgroup from Cayley's Table Quote:
 
November 19th, 2013, 05:55 AM  #5 
Newbie Joined: Aug 2010 Posts: 27 Thanks: 0  Re: How to find cyclic subgroup from Cayley's Table
i found that. it's e and a^2 right?

November 19th, 2013, 05:59 AM  #6 
Newbie Joined: Aug 2010 Posts: 27 Thanks: 0  Re: How to find cyclic subgroup from Cayley's Table
how is finding cyclic subroups related to center?

November 19th, 2013, 06:06 AM  #7  
Math Team Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory  Re: How to find cyclic subgroup from Cayley's Table Quote:
Quote:
 
November 19th, 2013, 06:10 AM  #8 
Newbie Joined: Aug 2010 Posts: 27 Thanks: 0  Re: How to find cyclic subgroup from Cayley's Table
ooopppssss....i think didn't type the question on the post. I was asking how to find cyclic subgroup from cayley's table

November 19th, 2013, 06:15 AM  #9  
Math Team Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory  Re: How to find cyclic subgroup from Cayley's Table Quote:
How many cyclic groups have you found?  
November 19th, 2013, 06:20 AM  #10 
Newbie Joined: Aug 2010 Posts: 27 Thanks: 0  Re: How to find cyclic subgroup from Cayley's Table
Is it I have to look for subgroups which are abelian? Because every abelian subgroup is cyclic. I just look for abelian subgroups from the cayley's table, am i right? The problem is we have many different subgroups. too many of them.


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cayley, cyclic, find, subgroup, table 
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