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$ \mathcal{F}$-projectors of finite solvable groups


Author: Joseph A. Troccolo
Journal: Proc. Amer. Math. Soc. 48 (1975), 33-38
MSC: Primary 20D10
DOI: https://doi.org/10.1090/S0002-9939-1975-0407136-5
MathSciNet review: 0407136
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Abstract: $ \mathfrak{F}$ denotes a class of finite solvable groups closed under the taking of epimorphic images. For any finite solvable group $ G$ we construct $ \mathfrak{F}$-projectors and prove that they are a single conjugacy class of subgroups of $ G$.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1975-0407136-5
Keywords: Finite solvable group, formation, $ \mathfrak{F}$-projector
Article copyright: © Copyright 1975 American Mathematical Society

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