Symmetric and permutation generating sets of 28kr s and 28kr a of degree 28kr using (2,27)‎

الملخص EN

In this paper, we aimed to use (2,27) PSL to generate the symmetric group 28kr S  and the alternating group 28krA  .

we have given symmetric and permutational generating sets of 28kr S  and 28kr A  of degree 28kr  using the projective linear group (2,27) PSL and an element of order 2kr  in 28kr S  and 28kr A  for all integers 1k  .

We also have shown that 28kr S  and 28kr A  can be symmetrically generated using some symmetric generating sets.

Keywords: the symmetric group, (2,27) PSL