[GAP Forum] Help to compute the size of a semigroup of partition-preserving transformations

[Shubh Narayan Singh (Assistant Professor, Mathematics)]

Dear all,
Let X be a nonempty finite set and let P be an arbitrary partition of X.
Denote by T(X, P) the semigroup of transformations preserving partition P.

Can anybody tell me a GAP code, if any, to compute the size of the
subsemigroup of T(X, P) consisting of those transformations whose image
intersects every block of P.

Thanks in advance for your assistance.

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Sincerely,
*------------------------------------------*

*Shubh N. Singh, Ph.D.Assistant Professor *

*Department of MathematicsCentral University of South Bihar*

*Gaya–824236 (Bihar), INDIA-----------------------------------------*
*E-mail: shubh at cub.ac.in <shubh at cub.ac.in>*
*Mob:   +91- 8404934146*