Results 11 to 20 of about 7,164 (304)
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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Krull dimension of solvable groups
Journal of Algebra, 2010 In this paper we prove that free solvable groups have finite Krull dimension. In fact, this is true for much wider class of solvable groups, termed rigid groups.
Romanovskiy, N. +3 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
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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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Equation satisfiability in solvable groups
Theory of Computing Systems, 2022 The 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, 10 ) where they showed that this problem is in P for nilpotent groups while it is NP ...
Kawałek, Piotr +3 more
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Tarski’s problem for solvable groups [PDF]
Proceedings of the American Mathematical Society, 1986 In this paper, we show that the free solvable groups (as well as the free nilpotent groups) of finite rank have different elementary theories (i.e., they do not satisfy the same first order sentences of group theory).
Howard Smith, Pat Rogers, Donald Solitar
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Diophantine problems in solvable groups [PDF]
Bulletin of Mathematical Sciences, 2020 We study the Diophantine problem (decidability of finite systems of equations) in different classes of finitely generated solvable groups (nilpotent, polycyclic, metabelian, free solvable, etc.), which satisfy some natural “non-commutativity” conditions.
Albert Garreta +2 more
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Some criteria for solvability and supersolvability [PDF]
Journal of Mahani Mathematical Research, 2023 Denote by $ G $ a finite group, by $ {\rm hsn}(G) $ the harmonic mean Sylow number (eliminating the Sylow numbers that are one) in $G$ and by $ {\rm gsn}(G) $ the geometric mean Sylow number (eliminating the Sylow numbers that are one) in $G$.
Zohreh Habibi, Masoomeh Hezarjaribi
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On a result of nilpotent subgroups of solvable groups [PDF]
International Journal of Group Theory, 2022 Heineken [H. Heineken, Nilpotent subgroups of finite soluble groups, Arch. Math.(Basel), 56 no. 5 (1991) 417--423.] studied the order of the nilpotent subgroups of the largest order of a solvable group.
Yong Yang
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Compatibility of Balanced and SKT Metrics on Two-Step Solvable Lie Groups [PDF]
, 2023 It has been conjectured by Fino and Vezzoni that a compact complex manifold admitting both a compatible SKT and a compatible balanced metric also admits a compatible Kähler metric.
Freibert, Marco Karl, Swann, Andrew
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