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- W4248953628 abstract "Publisher SummaryThis chapter presents a number of group-theoretic results related to characters and Hall subgroups. Let H be a Hall subgroup of a finite group G. By using the classification of finite simple groups together with the inspection of the character table of some of them, Ferguson proved the corresponding result without the restriction that H is solvable. A subgroup H of a group G is called a Hall subgroup of G, if the order of H is coprime with its index in G. All groups considered in this chapter are assumed to be finite and all characters are C-characters. Let H be a solvable Hall subgroup of G. Then the following two conditions are equivalent, that is, G contains a normal complement to H and each irreducible character of H can be extended to a character of G." @default.
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- W4248953628 date "1992-01-01" @default.
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- W4248953628 title "Chapter 26 Characters and Hall Subgroups" @default.
- W4248953628 doi "https://doi.org/10.1016/s0304-0208(08)71767-5" @default.
- W4248953628 hasPublicationYear "1992" @default.
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