[GAP Forum] 2-groups

[AHMET ARIKAN]

Dear Forum,

It is clear that two p-elements may not generate a p-group. I'm trying to 
find 2-groups using permutations. Is there a way in GAP to find 2-elements 
(permutations) x_1, ...,x_n such that Group(x_1,...,x_n) is a 2-group. May 
this be possible to find 2-elements (permutations)  x_1, x_2 such that 
Group(x_1,x_2) is a 2-group, and x_3 such that Group(x_1,x_2,x_3) is a 
2-group, etc?  Othewise by trial and error (with IsPGroup) we waste much 
time.

With best wishes,

Ahmet Arikan