[GAP Forum] All factorizations of a permutation

[Christopher Jefferson]

Hi Ahmet,

You might have to make your problem a little clearer.

Do you just want factorisations of a permutation into two parts, p*q?

Then, for any permutation p, p*(p^-1*(1,3,4)) = (1,3,4), so for any p you can calculate q=p^-1*(1,3,4).

Chris

-----Original Message-----
From: Ahmet Arıkan <arikan at gazi.edu.tr> 
Sent: 23 April 2021 08:27
To: forum at gap-system.org
Subject: [GAP Forum] All factorizations of a permutation

Dear Forum,

I am almost new in GAP
Is it possible to find all factorizations by GAP of a permutation in arbitrary S_n for suitable n. For example (1,3,4)=(1,2,3,4)*(2,3). How about all factorizations of (1,3,4) in S_5.

Thanks in advance,

Ahmet Arikan

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