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A family of dominant Fitting classes of finite soluble groups

Part of: Representation theory of groups

Published online by Cambridge University Press:  09 April 2009

A. Ballester-Bolinches ,
A. Martínez-Pastor  and
M. D. Pérez-Ramos
A. Ballester-Bolinches
Affiliation:
Departament d'Algebra Universitat de ValènciaC/- Doctor Moliner 50 46100 Burjassot (València)Spain e-mail: adolfo@uv.es
A. Martínez-Pastor
Affiliation:
E. U. Informàtica Departament de Matemàtica Aplicada Universitat Politècnica de ValènciaCamino de Vera s/n, 46071 ValènciaSpain e-mail: anamarti@mat.upv.es
M. D. Pérez-Ramos
Affiliation:
Departament d'Algebra Universitat de ValènciaC/- Doctor Moliner 50 46100 Burjassot (València)Spain e-mail: dolores.perez@uv.es
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Abstract

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In this paper a large family of dominant Fitting classes of finite soluble groups and the description of the corresponding injectors are obtained. Classical constructions of nilpotent and Lockett injectors as well as p-nilpotent injectors arise as particular cases.

MSC classification

Secondary: 20D10: Solvable groups, theory of formations, Schunck classes, Fitting classes, $pi$-length, ranks
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 64 , Issue 1 , February 1998 , pp. 33 - 43
Copyright
Copyright © Australian Mathematical Society 1998

References

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[3]Ballester-Bolinches, A., Pedraza-Aguilera, M. C. and Pérez-Ramos, M. D., ‘On J-subnormal subgroups and F-residuals of finite soluble groups’, J. Algebra 186 (1996), 314–322.CrossRefGoogle Scholar
[4]Ballester-Bolinches, A. and Pérez-Ramos, M. D., ‘On J-critical groups’, J. Algebra 174 (1995), 948–958.CrossRefGoogle Scholar
[5]Doerk, K. and Hawkes, T., Finite soluble groups (Walter De Gruyter, Berlin, 1992).CrossRefGoogle Scholar
[6]Lockett, F. P., On the theory of Fitting classes of finite soluble groups (Ph.D. thesis, University of Warwick, 1971).Google Scholar