Groups with many self-normalizing subgroups

• Published in: Algebra and Discrete Mathematics
• Date: 2009
• Main Authors: M. De Falco, F. de Giovanni, Musella, C.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/157021
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Groups with many self-normalizing subgroups / M. De Falco, F. de Giovanni, C. Musella // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 4. — С. 55–65. — Бібліогр.: 10 назв. — англ.

This paper investigates the structure of groups in which all members of a given relevant set of subgroups are selfnormalizing. In particular, soluble groups in which every nonabelian (or every infinite non-abelian) subgroup is self-normalizing are described.