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The p-Huppert-subgroup and the set of p-quasi-superfluous elements in a finite group

Published online by Cambridge University Press:  20 January 2009

Angel Carocca  and
Rudolf Maier
Angel Carocca
Affiliation:
Universidade de Brasilia, Departamento de Matemática-IE, 70.910 Brasilia-D.F., Brazil E-Mail: MAIERR @ BRUNB
Rudolf Maier
Affiliation:
Universidade de Brasilia, Departamento de Matemática-IE, 70.910 Brasilia-D.F., Brazil E-Mail: MAIERR @ BRUNB
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Abstract

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Based on the theory of p-supersoluble and supersoluble groups, a prime-number parametrized family of canonical characteristic subgroups Γp(G) and their intersection Γ(G) is introduced in every finite group G and some of its properties are studied. Special interest is dedicated to an elementwise description of the largest p-nilpotent normal subgroup of Γp(G) and of the Fitting subgroup of Γ(G).

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 36 , Issue 2 , June 1993 , pp. 289 - 297
Copyright
Copyright © Edinburgh Mathematical Society 1993

References

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