GROUPS WITH FINITELY MANY NORMALIZERS OF NON-ABELIAN SUBGROUPS
2006
A group is called metahamiltonian if all its non-abelian subgroups are normal; it is known that locally soluble metahamiltonian groups have finite commutator subgroup. Here the structure of locally graded groups with finitely many normalizers of (infinite) non-abelian subgroups is investigated, and the above result is extended to this more general situation. Keywords: normalizer subgroup, metahamiltonian group Mathematics Subject Classification (2000): 20F24
Keywords:
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
5
References
17
Citations
NaN
KQI