Results 71 to 80 of about 45,695 (240)
Prosoluble subgroups of the profinite completion of the fundamental group of compact 3‐manifolds
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract We give a description of finitely generated prosoluble subgroups of the profinite completion of 3‐manifold groups and toral relatively hyperbolic virtually compact special groups.
Lucas C. Lopes, Pavel A. Zalesskii
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Some two-step and three-step nilpotent Lie groups with small automorphism groups [PDF]
, 2002 We construct examples of two-step and three-step nilpotent Lie groups whose automorphism groups are `small' in the sense of either not having a dense orbit for the action on the Lie group, or being nilpotent (the latter being stronger).
Dani, S. G.
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Nilpotence and local nilpotence of linear groups
Linear Algebra and its Applications, 1976 AbstractLet GL(n,F) denote the general linear group over a commutative field F. It is well known that locally solvable subgroups of GL(n,F) are always solvable, but in general locally nilpotent subgroups need not always be nilpotent. The object of the present paper is to clarify this situation. For each odd prime p, let Fp be a splitting field for Xp −
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Equations in nilpotent groups [PDF]
Proceedings of the American Mathematical Society, 2015 We show that there exists an algorithm to decide any single equation in the Heisenberg group in finite time. The method works for all two-step nilpotent groups with rank-one commutator, which includes the higher Heisenberg groups. We also prove that the decision problem for systems of equations is unsolvable in all non-abelian free nilpotent groups.
Hao Liang, Moon Duchin, Michael Shapiro
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A reduction theorem for the Character Triple Conjecture
Proceedings of the London Mathematical Society, Volume 131, Issue 4, October 2025.Abstract In this paper, we show that the Character Triple Conjecture holds for all finite groups once assumed for all quasi‐simple groups. This answers the question on the existence of a self‐reducing form of Dade's conjecture, a problem that was extensively investigated by Dade in the 1990s.
Damiano Rossi
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Actions of nilpotent groups on nilpotent groups
Glasgow Mathematical JournalAbstractFor finite nilpotent groups $J$ and $N$ , suppose $J$ acts on $N$ via automorphisms. We exhibit a decomposition of the first cohomology set in terms of the first cohomologies of the Sylow $p$ -subgroups of $J$ that mirrors the primary decomposition of $H^1(J,N)$ for abelian $N$ .
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International Journal for Numerical Methods in Engineering, Volume 126, Issue 18, 30 September 2025.ABSTRACT The partitioned approach for fluid‐structure interaction (FSI) simulations involves solving the structural and flow field problems sequentially. This approach allows separate settings for the fluid and solid subsystems, ensuring modularity and leveraging advanced commercial and open‐source software capabilities to offer increased flexibility ...
A. Aissa‐Berraies +3 more
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Annalen der Physik, Volume 537, Issue 9, September 2025.Applications of the Dressing Field Method are reviewed and further expanded to the very foundations of the supersymmetric framework, where it allows to build relational supersymmetric field theory. Furthermore, a novel approach is proposed giving a unified description of fermionic matter fields and bosonic gauge fields: a Matter‐Interaction ...
Jordan François, L. Ravera
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Nilpotence in group cohomology [PDF]
Proceedings of the Edinburgh Mathematical Society, 2012 AbstractWe study bounds on nilpotence in H*(BG), the mod p cohomology of the classifying space of a compact Lie group G. Part of this is a report of our previous work on this problem, updated to reflect the consequences of Peter Symonds's recent verification of Dave Benson's Regularity Conjecture.
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