Groups with few conjugacy classes of non-normal subgroups

In: Mathematica Slovaca, vol. 58, no. 2

Maria De Falco - Francesco De Giovanni - Carmela Musella

Detaily:

Rok, strany: 2008, 177 - 184

Kľúčové slová:

conjugacy class, metahamiltonian group

O článku:

The structure of groups with finitely many non-normal subgroups is well known. In this paper, groups are investigated with finitely many conjugacy classes of non-normal subgroups with a given property. In particular, it is proved that a locally soluble group with finitely many non-trivial conjugacy classes of non-abelian subgroups has finite commutator subgroup. This result generalizes a theorem by Romalis and Sesekin on groups in which every non-abelian subgroup is normal.

Ako citovať:

ISO 690:

Falco, M., Giovanni, F., Musella, C. 2008. Groups with few conjugacy classes of non-normal subgroups. In Mathematica Slovaca, vol. 58, no.2, pp. 177-184. 0139-9918.

APA:

Falco, M., Giovanni, F., Musella, C. (2008). Groups with few conjugacy classes of non-normal subgroups. Mathematica Slovaca, 58(2), 177-184. 0139-9918.