A local study of group classes


It was established in [15] that the class of groups with a finite commutator subgroup can be locally described by locally graded groups having a bound on the length of particular chains of non-normal subgroups. This approximation was later extended to groups having a finite normal subgroup whose factor group has no non-permutable subgroups (see [18]). The aim of this paper is to show that these approximating group classes behave better than the classes they approximate, and can be used to derive new results on these.

DOI Code: 10.1285/i15900932v40n2p1

Keywords: hamiltonian group; quasihamiltonian group; group class defined by an iteration process

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