Sie sind hier: Home :: Bereich NIMMT :: Mathematik :: Mengenlehre

A. Ballester-Bolinches, L. M. Ezquerro

On formations with the Kegel property

We say that a formation ? of finite groups has the Kegel property if ? contains every group of the form G = AB = BC = CA with A, B, C in ?. Vasil’ev asked the following question in the Kourovka Notebook: if ? is a soluble Fitting formation of finite groups with the Kegel property must ? be a saturated formation? We obtain an affirmative answer in the soluble universe in the case when ? has the following additional property: for every prime p ? char ? and every primitive ?-group G whose socle is a p -group,  lies in ? for all primes q ? p such that q divides |G | Soc(G )|.

Journal of Group Theory, Walter de Gruyter

Print ISSN: 1433-5883
Volume: 8, 09/2005
Seiten: 605 - 611

Zum Artikel (extern)

Alle verfügbaren Artikel dieser Zeitschrift anzeigen

 

Bereich NIMMT