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A class of finite groups having nilpotent injectors

Part of: Special aspects of infinite or finite groups

Published online by Cambridge University Press:  09 April 2009

M. J. Iranzo  and
F. Pérez Monasor
M. J. Iranzo
Affiliation:
Departmento de Algebra y Fundamentos, Facultad de Ciencias Matemáticas, Universidad de Valencia, Valencia, Spain
F. Pérez Monasor
Affiliation:
Departmento de Algebra y Fundamentos, Facultad de Ciencias Matemáticas, Universidad de Valencia, Valencia, Spain
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Abstract

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The purpose of this paper is to construct a class of groups which properly contains the class of N-constrained groups, and which is such that all groups in this class have N-injectors.

MSC classification

Secondary: 20F50: Periodic groups; locally finite groups
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 41 , Issue 3 , December 1986 , pp. 361 - 365
Copyright
Copyright © Australian Mathematical Society 1986

References

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[3]Huppert, B. and Blackburn, N., Finite Groups III (Springer-Verlag, Berlin, 1982).Google Scholar
[4]Iranzo, M. J. and Perez Monasor, F., ‘Existence of N-injectors in a not central normal Fitting class’, Israel J. Math. 48 (1984), 123–128.Google Scholar
[5]Lausch, H., ‘Conjugacy classes of maximal nilpotent subgroups’, Israel J. Math. 47 (1984), 29–31.Google Scholar
[6]Mann, A., ‘Injectors and normal subgroups of finite groups’, Israel J. Math. 9 (1971), 554–558.Google Scholar