Nuclei and Lifts of π-Partial Characters
In this paper, we obtain a common generalization of the Isaacs and Navarro constructions of nuclei for characters of π-separable groups. The construction of Isaacs used the lattice of all subnormal subgroups, and the construction of Navarro used the lattice of all normal subgroups. We show that a generalized nucleus can be constructed using other lattices of subnormal subgroups, and these nuclei have properties similar to the properties of the nuclei constructed by Isaacs and Navarro.
2016 ◽
Vol 95
(1)
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pp. 38-47
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2014 ◽
Vol 56
(3)
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pp. 691-703
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1970 ◽
Vol 22
(1)
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pp. 176-184
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1989 ◽
Vol 31
(2)
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pp. 183-188
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1984 ◽
Vol 25
(1)
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pp. 103-105
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1993 ◽
Vol 42
(3)
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pp. 362-368
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