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Mathematische Nachrichten, 1984
Let G be a finite solvable group. G is known to be nilpotent iff \(C_ G(M/N)=G\) holds for each chief factor M/N of G. A contrary situation takes place if \(C_ G(M/N)=M\) for each chief factor M/N of G. Groups G satisfying this condition are said to be abnilpotent. Those groups were already considered by \textit{T. O. Hawkes} [Trans. Am. Math. Soc. 214,
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Let G be a finite solvable group. G is known to be nilpotent iff \(C_ G(M/N)=G\) holds for each chief factor M/N of G. A contrary situation takes place if \(C_ G(M/N)=M\) for each chief factor M/N of G. Groups G satisfying this condition are said to be abnilpotent. Those groups were already considered by \textit{T. O. Hawkes} [Trans. Am. Math. Soc. 214,
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Mathematics of the USSR-Izvestiya, 1968
The immersion of normal subgroups in a solvable (or partially solvable) finite group is studied. In a series of cases the results obtained are presented in the form of a connection between a group and its group of operators.
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The immersion of normal subgroups in a solvable (or partially solvable) finite group is studied. In a series of cases the results obtained are presented in the form of a connection between a group and its group of operators.
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1994
Abstract The structure theory of solvable groups of finite Morley rank is in a quite satisfactory state, though by no means as detailed as the theory available in the algebraic case [189). We obtain the conjugacy of Sylow subgroups for arbitrary primes (whereas the general theory of the next chapter works only for the prime 2) as well
Alexandre Borovik, Ali Nesin
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Abstract The structure theory of solvable groups of finite Morley rank is in a quite satisfactory state, though by no means as detailed as the theory available in the algebraic case [189). We obtain the conjugacy of Sylow subgroups for arbitrary primes (whereas the general theory of the next chapter works only for the prime 2) as well
Alexandre Borovik, Ali Nesin
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Solvable models of quantum black holes: a review on Jackiw–Teitelboim gravity
Living Reviews in Relativity, 2023Thomas G Mertens, Gustavo J Turiaci
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Lie solvable group algebras and solvable unit group
2007This note is a short survey of recent results and open problems in the framework of Lie solvable group algebras.
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Liouville Transformation and Exactly Solvable Schrodinger Equations
International Journal of Theoretical Physics, 1998Robert Milson
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