Hostname: page-component-848d4c4894-mwx4w Total loading time: 0 Render date: 2024-07-02T19:39:58.107Z Has data issue: false hasContentIssue false
  • English
  • Français

A Bryce and Cossey type theorem in a class of locally finite groups

Published online by Cambridge University Press:  17 April 2009

A. Ballester-Bolinches  and
S. Camp-Mora
A. Ballester-Bolinches
Affiliation:
Departament d'Àlgebra, Universitat de València, C/ Doctor Moliner 50, 46100 Burjassot, València, Spain, e-mail: Adolfo.Ballester@uv.es
S. Camp-Mora
Affiliation:
Departamento de Matemática e Informática, Universidad Pública de Navarra, Campus de Arrosadía s/n, 31006 Pamplona (Navarra), Spain
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.

In this paper the subgroup-closed saturated Fitting formations of radical locally finite groups with min-p for all p are fully characterised. Moreover the study of a class of generalised nilpotent groups introduced by Ballester-Bolinches and Pedraza is continued.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 63 , Issue 3 , June 2001 , pp. 459 - 466
Copyright
Copyright © Australian Mathematical Society 2001

References

[1]Ballester-Bolinches, A. and Camp-Mora, S., ‘A Gaschütz-Lubeseder type Theorem in a class of locally finite groups’, J. Algebra 221 (1999), 562–569.CrossRefGoogle Scholar
[2]Ballester-Bolinches, A. and Pedraza, T., ‘On a class of generalized nilpotent groups’, (preprint).Google Scholar
[3]Bryce, R.A. and Cossey, J., ‘Fitting formations of finite soluble groups’, Math Z. 127 (1972), 217–223.CrossRefGoogle Scholar
[4]Camp-Mora, S., ‘A Jordan-Hölder type Theorem in a class of locally finite groups’, (preprint).Google Scholar
[5]Dixon, M., Sylow theory, formations and fitting classes in locally finite groups (World Scientific, Singapore, 1994).CrossRefGoogle Scholar
[6]Doerk, K. and Hawkes, T., Finite soluble groups, De Gruyter Expositions in Mathematics 4 (De Gruyter, Berlin, 1992).CrossRefGoogle Scholar
[7]Robinson, D.J.S., Finiteness conditions and generalized soluble groups 1, Ergebnisse der Mathematic und ihrer Grenzgebiete Band 62 (Springer-Verlag, Berlin, Heidelberg, New York, 1972).Google Scholar
[8]Robinson, D.J.S., Finiteness conditions and generalized soluble groups 2, Ergebnisse der Mathematic und ihrer Grenzgebiete Band 63 (Springer-Verlag, Berlin, Heidelberg, New York, 1972).Google Scholar
[9]Tomkinson, M.J., ‘A Frattini-like subgroup’, Math. Proc. Cambridge Philos. Soc. 77 (1975), 247–257.CrossRefGoogle Scholar
[10]Tomkinson, M.J., ‘Finiteness conditions and a Frattini-Like subgroup’, Supp. Rend. Mat. Palermo serie II 23 (1990), 321–335.Google Scholar