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R. Esteban Romero, F. de Giovanni, A. Russo.
Groups whose subgroups satisfy the weak subnormalizer condition
Beitr. Algebra Geom., 60(4):645–656, 2019.
A subgroup X of a group G is said to satisfy the weak subnormalizer condition if NG(Y)≤NG(X) for each non-normal subgroup Y of G such that X≤Y≤NG(X). The behaviour of generalized soluble groups whose (cyclic) subgroups satisfy the weak subnormalizer condition is investigated.
2010 Mathematics Subject Classification: 20E15, 20F16
Keywords: Weak subnormalizer condition, T-group, weakly radical group