Geodesic
On certain subgroups of a join of subnormal subgroups
Glasgow mathematical journal, Tome 25 (1984) no. 1, pp. 103-105

Voir la notice de l'article provenant de la source Cambridge University Press

1. Introduction: Suppose the group G is generated by subnormal subgroups H and K, and that A, B are normal subgroups of finite index in H, Krespectively. The following question has been asked by J. C. Lennox: Under what circumstances is the subgroupJ = (A, B) subnormal in G? In particular, it is of interest to know when J has finite index in G, for, if this is the case, we may factor out by the normal core of J in G and apply Wielandt's theorem on joins of subnormal subgroups of finite groups [11] to deduce that J is subnormal in G. Here we prove the following result. 
Smith, Howard. On certain subgroups of a join of subnormal subgroups. Glasgow mathematical journal, Tome 25 (1984) no. 1, pp. 103-105. doi: 10.1017/S0017089500005486
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