Join of two finite subnormal subgroups is subnormal

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History

This result was proved by Wielandt in Eine Verallgemeinerung der invarianten Untergruppen. Math. Z.45, 209–244 (1939).

Statement

Suppose H and K are two Finite subnormal subgroup (?)s of a group G. Then, the join of H and K is also a Subnormal subgroup (?) of G.