[GAP Forum] Similarity

[arashrafi]

Dear Pubbers,

I am doing some research with the group G=SL(5,5). I need to the 
equivalence classes of similarity relation on G. These are the sets 
[A] = \{ B^tAB | B \in SL(5,5) \}. How can I get a representative for 
any equivalence classes? Is there a GAP command (or a series of 
commands) which given a finite matrix group G, would return a chain x_1
, ..., x_t of representatives for the mentioned classes?  

Thanks in advance for any help you can provide.

Sincerely,
Alireza 

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Ali Reza Ashrafi,
Professor of Mathematics
Department of Mathematics,
Faculty of Science,
University of Kashan,
Kashan,Iran.

Tel: +98 361 5552935
Fax: +98 361 5552930
Mob: +98 912 5148260

E-mail: ashrafi at kashanu.ac.ir 
        arashrafi at kashanu.ac.ir
        ashrafi996 at yahoo.com
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