1,720,967 research outputs found
Groups with finitely many normalizers of subnormal subgroups
No full textThe structure of soluble groups in which normality is a transitive relation is known. Here, groups with finitely many normalizers of subnormal subgroups are investigated, and the behavior of the
Wielandt subgroup of such groups is described; moreover, groups having only finitely many normalizers of infinite subnormal subgroups are considered
Groups with finitely many normalizers of non-subnormal subgroups
Get PDFIt is proved that a group G has finitely many normalizers of non-subnormal subgroups if and only if each subgroup of G either is subnormal or has finitely many conjugates; groups with this latter property have been completely described in [8]. Moreover, groups with finitely many normalizers of infinite non-subnormal subgroups are described
Groups with few normalizer subgroups
No full textThe behaviour of normalizer subgroups of a group has often a strong influence on the structure of the group it-self. In this paper groups with finitely many normalizers of subgroups with a given property χ are investigated, for various relevant choices of the property χ
- …
