GAP Forum: Cycle Structure and Orbital Transversal

> < ^ Date: Mon, 08 Dec 2003 00:17:52 -0500
> < ^ From: Bruce W. Colletti <bcolletti@compuserve.com >
> ^ Subject: Cycle Structure and Orbital Transversal

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Is there a GAP command that tests whether two permutations have the same =
cycle structure?

What command (if any) returns a transversal on the orbits of a group =
action? At present, I simply build a transversal by grabbing each =
orbit's first element. Am hoping there's a better way.

Thanks.

Bruce

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<DIV><FONT face=3DArial size=3D2>Is there a GAP command=20
that tests whether two permutations have the same cycle=20
structure?</FONT></DIV>
<DIV><FONT face=3DArial size=3D2></FONT> </DIV>
<DIV><FONT face=3DArial size=3D2>What command (if any) returns a =
transversal on=20
the orbits of a group action?  At present, I simply build a =
transversal by=20
grabbing each orbit's first element.  Am hoping there's a =
better=20
way.</FONT></DIV>
<DIV><FONT face=3DArial size=3D2></FONT> </DIV>
<DIV><FONT face=3DArial size=3D2>Thanks.</FONT></DIV>
<DIV><FONT face=3DArial size=3D2></FONT> </DIV>
<DIV><FONT face=3DArial size=3D2>Bruce</FONT></DIV>
<DIV><FONT face=3DArial size=3D2></FONT> </DIV>
<DIV><FONT face=3DArial size=3D2></FONT> </DIV></BODY></HTML>

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