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.
A local study of group classesi / Ferrara, M.; Trombetti, M.. - In: NOTE DI MATEMATICA. - ISSN 1123-2536. - 42:2(2020), pp. 1-20. [10.1285/i15900932v40n2p1]
A local study of group classesi
Trombetti M.
2020
Abstract
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
