On M-groups with Sylow towers
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Using the theory of linear limits due to Dade and Loukaki, we present a useful criterion for a class of finite solvable groups (including groups with Sylow towers) to be M-groups. As applications, we determine the monomiality of normal subgroups and Hall subgroups of such groups.
KeywordsM-group Sylow tower Monomial character Linear limit
Mathematics Subject Classification20C15
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