Algebraic Frobenius groups
Copyright policy )Algebraic Frobenius groups
A Frobenius group \(G\) with Frobenius complement \(H\) is an algebraic group \(G\), which has a non-trivial closed subgroup \(H\) such that \(H\cap xHx^{-1}=e\) for any \(x\in G\setminus H\). In the case that the ground field is algebraically closed, the author gives a representation of Frobenius groups with infinite complement and some answers in the case of finite complement. The author also characterizes solvable algebraic groups with commutative unipotent radical.
- University of Palermo Italy
Frobenius groups, unipotent radicals, Subgroup theorems; subgroup growth, Frobenius complements, solvable algebraic groups, Frobenius kernels, Algebraic groups, Frobenius groups, Linear algebraic groups over arbitrary fields
Frobenius groups, unipotent radicals, Subgroup theorems; subgroup growth, Frobenius complements, solvable algebraic groups, Frobenius kernels, Algebraic groups, Frobenius groups, Linear algebraic groups over arbitrary fields
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