Abstract

A NOTE ON STRONGLY INVARIANT SUBGROUP

U. Adamu & M. A. Ibrahim

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Abstract. In this paper,we formulate some results on strongly invariant subgroup. We show that diagonal subgroups are not strongly invariant, the union of a strongly invariant subgroup of a group and a direct factor of is not strongly invariant.We establish that every subgroup of a torsion group is strongly invariant if , - is strongly invariant in . The union and the intersection of a torsion part of a mixed group are strongly invariant. We finally show that every cyclic group of prime order is strongly invariant simple.

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