Hostname: page-component-586b7cd67f-t7fkt Total loading time: 0 Render date: 2024-11-24T10:32:46.175Z Has data issue: false hasContentIssue false
  • English
  • Français

INTERSECTIONS OF ODD ORDER HALL SUBGROUPS

Published online by Cambridge University Press:  08 February 2005

SILVIO DOLFI
SILVIO DOLFI
Affiliation:
Dipartimento di Matematica, viale Morgagni, 67/a, 50134 Firenze, [email protected]
Get access

Abstract

Given a set $\pi$ of odd primes and a $\pi$-solvable finite group $G$, one can choose three (not necessarily distinct) Hall $\pi$-subgroups of $G$ whose intersection is $O_{\pi}(G)$. This statement relies on a result concerning long orbits in coprime actions of groups of odd order.

Keywords

20D20
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 37 , Issue 1 , January 2005 , pp. 61 - 66
Copyright
© The London Mathematical Society 2005

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

Work partially supported by MURST research program ‘Teoria dei gruppi e applicazioni’.