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Fortschritte der Physik, Volume 74, Issue 5, May 2026.ABSTRACT We provide full details of a BV formulation of N=1$\mathcal N=1$ supergravity in 10 dimensions, to all orders in fermions, built from the generalised geometry description of the theory. In contrast to standard treatments, we introduce neither the degrees of freedom corresponding to orthonormal frames for the metric nor the local Lorentz ...
Julian Kupka +2 more
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Averaged Dehn functions for nilpotent groups [PDF]
, 2008 Gromov proposed an averaged version of the Dehn function and claimed that in many cases it should be subasymptotic to the Dehn function. Using results on random walks in nilpotent groups, we confirm this claim for most nilpotent groups. In particular, if
Young, Robert
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About Nilpotent Profinite Groups Largely Satisfying a Word Equation [PDF]
Advances in Group Theory and ApplicationsWe show that in a nilpotent profinite group, the set of answers of a word equation has nonempty interior, provided that this set has a positive Haar measure.
Meisam Soleimani Malekan
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Which singular tangent bundles are isomorphic?
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract Logarithmic and b$ b$‐tangent bundles provide a versatile framework for addressing singularities in geometry. Introduced by Deligne and Melrose, these modified bundles resolve singularities by reframing singular vector fields as well‐behaved sections of these singular bundles.
Eva Miranda, Pablo Nicolás
wiley +1 more source
Knapsack problem for nilpotent groups [PDF]
, 2017 In this work we investigate the group version of the well known knapsack problem in the class of nilpotent groups. The main result of this paper is that the knapsack problem is undecidable for any torsion-free group of nilpotency class 2 if the rank of ...
Alexei Mishchenko, Alexander Treier
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The Jacobson topology of Prim* L¹(G) for exponential Lie groups [PDF]
, 2007 Ungermann O. The Jacobson topology of Prim* L¹(G) for exponential Lie groups.
Ungermann, Oliver
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Some Residual Properties of Finite Rank Groups
Моделирование и анализ информационных систем, 2014 The generalization of one classical Seksenbaev theorem for polycyclic groups is obtained. Seksenbaev proved that if G is a polycyclic group which is residually finite p-group for infinitely many primes p, it is nilpotent. Recall that a group G is said to
D. N. Azarov
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Virtual endomorphisms of nilpotent groups
Groups, Geometry, and Dynamics, 2007 A virtual endomorphism of a group G is a homomorphism f : H→ G where H is a subgroup of G of finite index
Berlatto, Adilson, Sidki, Said
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On some groups whose subnormal subgroups are contranormal-free [PDF]
International Journal of Group TheoryIf $G$ is a group, a subgroup $H$ of $G$ is said to be contranormal in $G$ if $H^G = G$, where $H^G$ is the normal closure of $H$ in $G$. We say that a group is contranormal-free if it does not contain proper contranormal subgroups.
Leonid Kurdachenko +2 more
doaj +1 more source
ON CO-HOPFIAN NILPOTENT GROUPS [PDF]
Bulletin of the London Mathematical Society, 2003 We characterize co-Hopfian finitely generated torsion free nilpotent groups in terms of their Lie algebra automorphisms, and construct many examples of such groups.
openaire +4 more sources