On minimal non-supersoluble groups.
A. Ballester-Bolinches, R. Esteban-Romero (2007)
Revista Matemática Iberoamericana
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A. Ballester-Bolinches, R. Esteban-Romero (2007)
Revista Matemática Iberoamericana
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J. J. Etayo Gordejuela, E. Martínez (2008)
Revista Matemática Iberoamericana
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P. Juutinen, G. Lu, J. J. Manfredi, B. Stroffolini (2007)
Revista Matemática Iberoamericana
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P. Cameron, J. Cilleruelo, O. Serra (2007)
Revista Matemática Iberoamericana
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Gert-Martin Greuel (2003)
Revista Matemática Iberoamericana
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We report on a partial solution of the conjecture that the class of finite solvable groups can be characterised by 2-variable identities. The proof requires pieces from number theory, algebraic geometry, singularity theory and computer algebra. The computations were carried out using the computer algebra system SINGULAR.
R. A. Hidalgo, M. A. Leyton (2007)
Revista Matemática Iberoamericana
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M. Cárdenas, F.F. Lasheras, A. Quintero, D. Repovs (2009)
Revista Matemática Iberoamericana
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M.J. Iranzo, J. Medina, F. Pérez-Monasor (2002)
Revista Matemática Iberoamericana
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In this paper we will prove that if G is a finite group, X a subnormal subgroup of X F*(G) such that X F*(G) is quasinilpotent and Y is a quasinilpotent subgroup of NG(X), then Y F*(NG(X)) is quasinilpotent if and only if Y F*(G) is quasinilpotent. Also we will obtain that F*(G) controls its own fusion in G if and only if G = F*(G).
Rubén A. Hidalgo (2004)
Revista Matemática Iberoamericana
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Let S be a real closed Riemann surfaces together a reflection τ : S ---> S, that is, an anticonformal involution with fixed points. A well known fact due to C. L. May asserts that the group K(S, τ), consisting on all automorphisms ...
Emilio Freire, Gasull, Armengol, Guillamon, Antoni 2 (2004)
Revista Matemática Iberoamericana
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We present a description of isochronous centres of planar vector fields X by means of their groups of symmetries. More precisely, given a normalizer U of X (i.e., [X,U]= µ X, where µ is a scalar function), we provide a necessary and sufficient isochronicity condition based on µ. This criterion extends the result of Sabatini and Villarini that establishes the equivalence between isochronicity and the existence of commutators ([X,U]= 0). We put also special emphasis on the mechanical aspects...
Andrea Bonfiglioli, Francesco Uguzzoni (2005)
Revista Matemática Iberoamericana
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We prove that every homogeneous Carnot group can be lifted to a free homogeneous Carnot group. Though following the ideas of Rothschild and Stein, we give simple and self-contained arguments, providing a constructive proof, as shown in the examples.