Published in
World Scientific Publishing, Journal of Algebra and Its Applications, 04(13), p. 1350141
DOI: 10.1142/s0219498813501417
Links
Tools
Finite groups with some non-cyclic subgroups having small indices in their normalizers
This paper is available in a repository.
Full text: Download
Published version:
archiving forbidden
Data provided by 
Abstract
In this paper, it is shown that a finite group G is always supersolvable if |NG(H) : H| ≤ 2 for every non-cyclic subgroup H of G of prime-power order. Also, finite groups with all supersolvable non-cyclic subgroups being self-normalizing, and finite p-groups with all non-cyclic proper subgroups being of prime index in their normalizers are completely classified.