Supersolvable Frobenius groups with nilpotent centralizers
Copyright policy ) Caldeira, Jhone; de Melo, Emerson;
Supersolvable Frobenius groups with nilpotent centralizers
Let $FH$ be a supersolvable Frobenius group with kernel $F$ and complement $H$. Suppose that a finite group $G$ admits $FH$ as a group of automorphisms in such a manner that $C_G(F)=1$ and $C_{G}(H)$ is nilpotent of class $c$. We show that $G$ is nilpotent of $(c,\left|FH\right|)$-bounded class.
- UNIVERSIDADE DE SAO PAULO Brazil
- University of BrasÃlia Brazil
Finite nilpotent groups, \(p\)-groups, Associated Lie structures for groups, FOS: Mathematics, Graded Lie (super)algebras, Group Theory (math.GR), Mathematics - Group Theory, Automorphisms of abstract finite groups
Finite nilpotent groups, \(p\)-groups, Associated Lie structures for groups, FOS: Mathematics, Graded Lie (super)algebras, Group Theory (math.GR), Mathematics - Group Theory, Automorphisms of abstract finite groups
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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