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Two characterizations of the smallest non-solvable group
Communications in AlgebraChimere Stanley Anabanti +1 more
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A note on p-solvable and solvable finite groups [PDF]
International Journal of Mathematics and Mathematical Sciences, 1994 The notion of normal index is utilized in proving necessary and sufficient conditions for a group G to be respectively, p-solvable and solvable where p is the largest prime divisor of |G|.
R. Khazal, N. P. Mukherjee
doaj +2 more sources
Solvable models of quantum black holes: a review on Jackiw–Teitelboim gravity [PDF]
Living Reviews in Relativity, 2022 We review recent developments in Jackiw–Teitelboim gravity. This is a simple solvable model of quantum gravity in two dimensions (that arises e.g. from the s-wave sector of higher dimensional gravity systems with spherical symmetry).
T. Mertens, G. Turiaci
semanticscholar +1 more source
C#-IDEALS OF LIE ALGEBRAS [PDF]
Journal of Algebraic Systems, 2021 Let $L$ be a finite dimensional Lie algebra. A subalgebra $H$ of $L$ is called a $c^{\#}$-ideal of $L$, if there is an ideal $K$ of $L$ with $L=H+K$ and $H\cap K$ is a $CAP$-subalgebra of $L$.
L. Goudarzi
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The 3-closure of a solvable permutation group is solvable [PDF]
Journal of Algebra, 2022 Let $m$ be a positive integer and let $Ω$ be a finite set. The $m$-closure of $G\leq\operatorname{Sym}(Ω)$ is the largest permutation group on $Ω$ having the same orbits as $G$ in its induced action on the Cartesian product $Ω^m$. The $1$-closure and $2$-closure of a solvable permutation group need not be solvable.
E.A. O'Brien +3 more
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Characterization of solvable spin models via graph invariants [PDF]
Quantum, 2020 Exactly solvable models are essential in physics. For many-body spin-1/2systems, an important class of such models consists of those that can be mapped to free fermions hopping on a graph.
A. Chapman, S. Flammia
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