Hostname: page-component-cb9f654ff-lqqdg Total loading time: 0 Render date: 2025-09-01T23:50:45.335Z Has data issue: false hasContentIssue false
  • English
  • Français

A note on Hall closure of metanilpotent fitting classes

Published online by Cambridge University Press:  17 April 2009

Martin Menth
Martin Menth
Affiliation:
Mathematisches InstitutUniversität WürzburgAm HublandD-97074 WürzburgGermany
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Metanilpotent Lockett classes are Hall closed. There is an example of a supersoluble, not Hall closed Fitting class.

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 53 , Issue 2 , April 1996 , pp. 209 - 212
Copyright
Copyright © Australian Mathematical Society 1996

References

[1]Brison, O., ‘Hall operators for Fitting classes’, Arch. Math. (Basel) 33 (1979), 1–9.CrossRefGoogle Scholar
[2]Doerk, K. and Hawkes, T., Finite soluble groups (deGruyter, Berlin, New York, 1992).CrossRefGoogle Scholar
[3]Menth, M., ‘A family of Fitting classes of supersoluble groups’, Math. Proc. Cambridge Philos. Soc. 118 (1995), 49–57.CrossRefGoogle Scholar
[4]Menth, M., ‘Examples of supersoluble Lockett sections’, Bull. Austral. Math. Soc. 49 (1994), 325–332.CrossRefGoogle Scholar
[5]Müller, K., ‘Fittingklassen mit zusätzlichen Abschlußeigenschaften,’, Arch. Math. (Basel) 50 (1988), 19–24.CrossRefGoogle Scholar