# S.O.S. Mathematics CyberBoard

Your Resource for mathematics help on the web!
 It is currently Wed, 22 May 2013 21:43:01 UTC

 All times are UTC [ DST ]

 Page 2 of 2 [ 20 posts ] Go to page Previous  1, 2
 Print view Previous topic | Next topic
Author Message
 Post subject: Re: Disjoint cyclesPosted: Mon, 27 Feb 2012 07:35:18 UTC
 Moderator

Joined: Wed, 30 Mar 2005 04:25:14 UTC
Posts: 12101
Location: Austin, TX
DgrayMan wrote:
ah because theyre disjoint. they can't have anything in common to begin with right? so B cannot be an inverse of A because that would mean A and B are not disjoint right?

Yes.

_________________
(\ /)
(O.o)
(> <)
This is Bunny. Copy Bunny into your signature to help him on his way to world domination

Top

 Post subject: Re: Disjoint cyclesPosted: Tue, 28 Feb 2012 02:31:15 UTC
 S.O.S. Oldtimer

Joined: Sat, 21 Jan 2012 03:59:22 UTC
Posts: 182
is there an algebraic way to show this? I mean i understand why it's true but other than just saying it in a sentence is there something more fancy?

and also, does this hold true for (AB)^t = e, where A^t=e and B^t=e for some positive integer t.?

Top

 Post subject: Re: Disjoint cyclesPosted: Tue, 28 Feb 2012 02:32:28 UTC
 Moderator

Joined: Wed, 30 Mar 2005 04:25:14 UTC
Posts: 12101
Location: Austin, TX
DgrayMan wrote:
is there an algebraic way to show this? I mean i understand why it's true but other than just saying it in a sentence is there something more fancy?

and also, does this hold true for (AB)^t = e, where A^t=e and B^t=e for some positive integer t.?

Of course, again, since they commute, so so another contradiction.

_________________
(\ /)
(O.o)
(> <)
This is Bunny. Copy Bunny into your signature to help him on his way to world domination

Top

 Post subject: Re: Disjoint cyclesPosted: Tue, 28 Feb 2012 05:23:45 UTC
 Moderator

Joined: Mon, 29 Dec 2008 17:49:32 UTC
Posts: 6007
Location: 127.0.0.1, ::1 (avatar courtesy of UDN)
DgrayMan wrote:
is there an algebraic way to show this? I mean i understand why it's true but other than just saying it in a sentence is there something more fancy?

and also, does this hold true for (AB)^t = e, where A^t=e and B^t=e for some positive integer t.?

The effect of on would be moving it to . So ...

_________________

Top

 Post subject: Re: Disjoint cyclesPosted: Tue, 28 Feb 2012 05:27:54 UTC
 Moderator

Joined: Wed, 30 Mar 2005 04:25:14 UTC
Posts: 12101
Location: Austin, TX
outermeasure wrote:
DgrayMan wrote:
is there an algebraic way to show this? I mean i understand why it's true but other than just saying it in a sentence is there something more fancy?

and also, does this hold true for (AB)^t = e, where A^t=e and B^t=e for some positive integer t.?

The effect of on would be moving it to . So ...

Ah, fantastic, a much better way to see things.

Also, to clarify my statement, I meant that assuming you were doing that for all t>0 integers, it will happen to be true for some of them that it's true and that won't imply that both are the identity.

_________________
(\ /)
(O.o)
(> <)
This is Bunny. Copy Bunny into your signature to help him on his way to world domination

Top

 Display posts from previous: All posts1 day7 days2 weeks1 month3 months6 months1 year Sort by AuthorPost timeSubject AscendingDescending
 Page 2 of 2 [ 20 posts ] Go to page Previous  1, 2

 All times are UTC [ DST ]

#### Who is online

Users browsing this forum: No registered users

 You cannot post new topics in this forumYou cannot reply to topics in this forumYou cannot edit your posts in this forumYou cannot delete your posts in this forum

Search for:
 Jump to:  Select a forum ------------------ High School and College Mathematics    Algebra    Geometry and Trigonometry    Calculus    Matrix Algebra    Differential Equations    Probability and Statistics    Proposed Problems Applications    Physics, Chemistry, Engineering, etc.    Computer Science    Math for Business and Economics Advanced Mathematics    Foundations    Algebra and Number Theory    Analysis and Topology    Applied Mathematics    Other Topics in Advanced Mathematics Other Topics    Administrator Announcements    Comments and Suggestions for S.O.S. Math    Posting Math Formulas with LaTeX    Miscellaneous