Results 11 to 20 of about 6,342,270 (352)
Critical groups of group representations [PDF]
Linear Algebra and its Applications, 2016 8 ...
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A Remark on Critical Groups [PDF]
Journal of the Australian Mathematical Society, 1969 Problem 24 of Hanna Neumann's book [3] reads: Does there exist, for a given integer n > 0, a Cross variety that is generated by its k-generator groups and contains (k+n)-generator critical groups? In such a variety, is every critical group that needs more than k generators a factor of a k-generator critical group, or at least of the free group of ...
László Kovács
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Homological dimension and critical exponent of Kleinian groups [PDF]
arXiv, 2007 We prove that the relative homological dimension of a Kleinian group G does not exceed 1 + the critical exponent of G. As an application of this result we show that for a geometrically finite Kleinian group G, if the topological dimension of the limit ...
Kapovich, Michael
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Exponent-critical groups [PDF]
Journal of Group TheoryAbstract We define and investigate the property of being “exponent-critical” for a finite group. A finite group is said to be exponent-critical if its exponent is not the least common multiple of the exponents of its proper non-abelian subgroups. We explore properties of exponent-critical groups and give a characterization of such groups.
Simon R. Blackburn +3 more
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Critical groups and partitions of finite groups [PDF]
arXivWe define a class of finite groups based on the properties of the closed twins of their power graphs and study the structure of those groups. As a byproduct, we obtain results about finite groups admitting a partition by cyclic subgroups.
Bubboloni, Daniela, Pinzauti, Nicolas
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The critical group of a threshold graph
Linear Algebra and its Applications, 2002 AbstractThe critical group of a connected graph is a finite abelian group, whose order is the number of spanning trees in the graph. The structure of this group is a subtle isomorphism invariant that has received much attention recently, partly due to its relation to the graph Laplacian and chip-firing games.
Hans Christianson, Victor Reiner
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Multiple periodic solutions of nonlinear second order differential equations
AIMS Mathematics, 2023 In this paper, we are interested in the existence of multiple nontrivial $ T $-periodic solutions of the nonlinear second ordinary differential equation $ \ddot{x}+V_x(t, x) = 0 $ in $ N(\geq 1) $ dimensions.
Keqiang Li, Shangjiu Wang
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A multiplicity theorem for parametric superlinear (p,q)-equations [PDF]
Opuscula Mathematica, 2020 We consider a parametric nonlinear Robin problem driven by the sum of a \(p\)-Laplacian and of a \(q\)-Laplacian (\((p,q)\)-equation). The reaction term is \((p-1)\)-superlinear but need not satisfy the Ambrosetti-Rabinowitz condition.
Florin-Iulian Onete +2 more
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Advances in Nonlinear Analysis, 2020 We consider a nonlinear elliptic equation driven by the (p, q)–Laplacian plus an indefinite potential. The reaction is (p − 1)–superlinear and the boundary term is parametric and concave.
Papageorgiou Nikolaos S., Zhang Youpei
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Constant sign and nodal solutions for nonlinear Robin equations with locally defined source term
Mathematical Modelling and Analysis, 2020 We consider a parametric Robin problem driven by a nonlinear, nonhomogeneous differential operator which includes as special cases the p-Laplacian and the (p,q)-Laplacian. The source term is parametric and only locally defined (that is, in a neighborhood
Nikolaos S. Papageorgiou +2 more
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