Skip to main content Accessibility help
×
Home
Hostname: page-component-544b6db54f-4nk8m Total loading time: 0.143 Render date: 2021-10-24T16:58:38.643Z Has data issue: true Feature Flags: { "shouldUseShareProductTool": true, "shouldUseHypothesis": true, "isUnsiloEnabled": true, "metricsAbstractViews": false, "figures": true, "newCiteModal": false, "newCitedByModal": true, "newEcommerce": true, "newUsageEvents": true }

On the fitting core of a formation

Published online by Cambridge University Press:  17 April 2009

J. C. Beidleman
Affiliation:
Department of Mathematics, University of Kentucky, Lexington KY 40506-0017, United States of America e-mail: clark@ms.uky.edu
H. Heineken
Affiliation:
Mathematisches Institut, Universität Würzburg, Am Hubland, 97074 Würzburg, Germany e-mail: Heineken@mathematik.uni-wurzburg.de
Rights & Permissions[Opens in a new window]

Abstract

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

Dedicated to the memory of Bernhard H. Neumann

Not often is a formation also a Fitting class. In this article groups are exhibited that are contained in a given saturated formation and that do not lead out of this formation by forming normal products with other groups of it. This generalises a result of Cossey on T-groups and supersolvable groups.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2003

References

[1]Agrawal, R.K., ‘Finite groups whose subnormal subgroups permute with all Sylow subgroupsProc. Amer. Math. Soc. 47 (1975), 7783.CrossRefGoogle Scholar
[2]Cossey, J., ‘Finite groups generated by subnormal T-groups’, Glasgow Math. J. 37 (1995), 363371.CrossRefGoogle Scholar
[3]Dickson, L.E., Linear groups with an exposition of the Galois field theory (Dover Publications, New York, 1958).Google Scholar
[4]Doerk, K. and Hawkes, T., Finite soluble groups, de Gruyter Expositions in Mathematics 4 (de Gruyter and Co., Berlin, 1992).CrossRefGoogle Scholar
[5]Huppert, B., Endliche Gruppen I (Springer-Verlag, Berlin and New York, 1967).CrossRefGoogle Scholar
You have Access
4
Cited by

Send article to Kindle

To send this article to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle.

Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

On the fitting core of a formation
Available formats
×

Send article to Dropbox

To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Dropbox.

On the fitting core of a formation
Available formats
×

Send article to Google Drive

To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Google Drive.

On the fitting core of a formation
Available formats
×
×

Reply to: Submit a response

Please enter your response.

Your details

Please enter a valid email address.

Conflicting interests

Do you have any conflicting interests? *