[PDF][PDF] Groups with few normalizer subgroups

F De Mari, F de Giovanni - Irish Math. Soc. Bull, 2005 - maths.tcd.ie
F De Mari, F de Giovanni
Irish Math. Soc. Bull, 2005maths.tcd.ie
… The behaviour of normalizer subgroups of a group has often a strong influence on the
structure of the group itself. 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. … As
a contribution to the theory of groups with few non-subnormal subgroups, in this section we
will describe groups with finitely many normalizers of non-subnormal subgroups; it turns out
that such groups coincide with those in which every subgroup either is subnormal or has …
Abstract
The behaviour of normalizer subgroups of a group has often a strong influence on the structure of the group itself. 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.
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