Results 11 to 20 of about 5,422,708 (286)
Characterizations of Fitting p-Groups whose Proper Subgroups are Solvable [PDF]
Advances in Group Theory and Applications, 2017 This work continues the study of infinitely generated groups whose proper subgroups are solvable and in whose homomorphic images normal closures of finitely generated subgroups are residually nilpotent. In [4], it has been shown that such a group, if not
A.O. Asar
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Equation Satisfiability in Solvable Groups [PDF]
Theory of Computing Systems, 2022 AbstractThe study of the complexity of the equation satisfiability problem in finite groups had been initiated by Goldmann and Russell in (Inf. Comput. 178(1), 253–262, 2002) where they showed that this problem is in for nilpotent groups while it is -complete for non-solvable groups.
Pawel M. Idziak +3 more
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Solvable Lie A-algebras. [PDF]
, 2011 A finite-dimensional Lie algebra $L$ over a field $F$ is called an $A$-algebra if all of its nilpotent subalgebras are abelian. This is analogous to the concept of an $A$-group: a finite group with the property that all of its Sylow subgroups are abelian.
Towers, David A., David A. Towers
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Two Generator Subalgebras Of Lie Algebras. [PDF]
, 2007 In [14] Thompson showed that a finite group G is solvable if and only if every twogenerated subgroup is solvable (Corollary 2, p. 388). Recently, Grunevald et al.
Kevin Bowman +5 more
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A Class of Solvable Groups [PDF]
Canadian Journal of Mathematics, 1959 Numerous studies have been made of groups, especially of finite groups, G which have a representation in the form AB, where A and B are subgroups of G. The form of these results is to determine various grouptheoretic properties of G, for example, solvability, from other group-theoretic properties of the subgroups A and B.More recently the structure of ...
Gorenstein, Daniel, Herstein, I. N.
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Solvable complemented Lie algebras. [PDF]
, 2012 In this paper a characterisation is given of solvable complemented Lie algebras. They decompose as a direct sum of abelian subalgebras and their ideals relate nicely to this decomposition.
Towers, David A.
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Profinite just infinite residually solvable Lie algebras [PDF]
International Journal of Group Theory, 2023 We provide some characterization theorems about just infinite profinite residually solvable Lie algebras, similarly to what C. Reid has done for just infinite profinite groups.
Dario Villanis Ziani
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Solvable subgroups of p-solvable semilinear groups.
Journal für die reine und angewandte Mathematik (Crelles Journal), 1990 Solvable subgroups of p-solvable semilinear groups. - In: Journal für die reine und angewandte Mathematik. 404. 1990.
Külshammer, Burkhard (Prof.)
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A note on the solvability of groups
Journal of Algebra, 2006 8 ...
Li, Shiheng, Shi, Wujie
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Controllability of affine right-invariant systems on solvable Lie groups [PDF]
Discrete Mathematics & Theoretical Computer Science, 1997 The aim of this paper is to present some recent results on controllability of right-invariant systems on Lie groups. From the Lie-theoretical point of view, we study conditions under which subsemigroups generated by half-planes in the Lie algebra of ...
Yuri L. Sachkov
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