6533b854fe1ef96bd12ae03f

RESEARCH PRODUCT

Groups whose subgroups satisfy the weak subnormalizer condition

R. Esteban RomeroR. Esteban RomeroF. De GiovanniAlessio Russo

subject

CombinatoricsAlgebra and Number TheoryT-groupGroup (mathematics)Geometry and TopologyAlgebraic geometryAlgebra over a fieldMatemàticaMathematics

description

A subgroup X of a group G is said to satisfy the weak subnormalizer condition if $$N_G(Y)\le N_G(X)$$ for each non-normal subgroup Y of G such that $$X\le Y\le N_G(X)$$ . The behaviour of generalized soluble groups whose (cyclic) subgroups satisfy the weak subnormalizer condition is investigated.

10.1007/s13366-019-00448-9https://hdl.handle.net/10550/85923