This study represents the problem of the invariant sub-groups of the
maximal solvable invariant sub-groups in a group GL(q,p), with p and q are
primes, q|(p-١), and its order is r with r/| (P − 1) , as the studying of its
normalizer groups and ide
ntification the order of the normalizer for each one
in the case r is an odd order, and also with studying the problem of its
conjunction in a group GL(q,p).