[GAP Forum] presentations from GrpConst Program

Walter Becker w_becker at hotmail.com
Tue Nov 29 21:42:21 GMT 2011


 In connection with the use of the program GrpConst one 
can generate large numbers of groups, e.g., of order
11^2 time 5^3  (Here the number is 78 cases). Many
of these groups have the same class structure, and 
Automorphusm groups. The question is how to 
distinguish them. The way I would like to do this is to 
construct presentations for these groups in the form
(11 group) semi direct product with the (5-group) using 
presentations of the form
(Here the example is with the group 125 number 4)
 
a^11=b^11 (a,b) = c^25=d^5=c^d*c^(-1-5) =
     a^c*a^w = b^d*b^x=b^c*b^y=b^d*b^z=1;
 
Question How to get GAP/GrpConst to return the
presentations in this form. 
 
Thank you
 
Walter Becker 		 	   		  


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