Results 51 to 60 of about 9,591,284 (211)
A nilpotent non abelian group code [PDF]
, 2014 The paper reports an example for a nilpotent group code which is not monomially equivalent to some abelian group ...
Nebe, G., Schäfer, A.
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Computing in Nilpotent Matrix Groups [PDF]
LMS Journal of Computation and Mathematics, 2006 AbstractWe present algorithms for testing nilpotency of matrix groups over finite fields, and for deciding irreducibility and primitivity of nilpotent matrix groups. The algorithms also construct modules and imprimitivity systems for nilpotent groups.
A. S. Detinko, Dane L. Flannery
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On the additive image of zeroth persistent homology
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer +3 more
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On residual nilpotence of group extensions
International Journal of Algebra and Computation, 2023 We study the following question: under what conditions extension of one residually nilpotent group by another residually nilpotent group is residually nilpotent? We prove some sufficient conditions under which this extension is residually nilpotent. Also, we study this question for semi-direct products and, in particular, for extensions of free group ...
Valeriy G. Bardakov +2 more
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Nontrivial Massey products on compact Kähler manifolds
Journal of Topology, Volume 19, Issue 4, December 2026.Abstract By a result of Deligne, Griffiths, Morgan, and Sullivan, compact Kähler manifolds are rationally formal. In contrast to this, we show that the pluripotential quasi‐isomorphism type of the bigraded, bidifferential algebra of forms on a compact Kähler manifold generally contains more information than the de Rham cohomology algebra with its real ...
Giovanni Placini +2 more
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COMBING NILPOTENT AND POLYCYCLIC GROUPS [PDF]
International Journal of Algebra and Computation, 1999 The notable exclusions from the family of automatic groups are those nilpotent groups which are not virtually abelian, and the fundamental groups of compact 3-manifolds based on the Nil or Sol geometries. Of these, the 3-manifold groups have been shown by Bridson and Gilman to lie in a family of groups defined by conditions slightly more general than ...
Robert H. Gilman 0001 +2 more
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Purely Coclosed G2‐Structures on Nilmanifolds—II
Mathematische Nachrichten, Volume 299, Issue 11, Page 3451-3463, November 2026.ABSTRACT This paper completes the classification of seven‐dimensional nilpotent Lie groups endowed with a left‐invariant purely coclosed G2$\text{G}_2$‐structure, initiated in Bazzoni et al. [Mathematische Nachrichten 296 no. 6 (2023): 2236–2257], the authors provided the classification of decomposable seven‐dimensional nilpotent Lie groups and of the ...
Giovanni Bazzoni, Giorgia Petracci
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Hyperbolicity and fundamental groups of complex quasi‐projective varieties (III): Applications
Proceedings of the London Mathematical Society, Volume 133, Issue 5, November 2026.Abstract This paper is Part III of a series of three. We begin by introducing the notion of h$h$‐special varieties, which can be seen as varieties “chain‐connected by the Zariski closures of entire curves.” We prove that if X$X$ is either a special smooth complex quasi‐projective variety in the sense of Campana or an h$h$‐special variety, then for any ...
Benoît Cadorel +2 more
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A Coarse Geometric Approach to Graph Layout Problems
Journal of Graph Theory, Volume 113, Issue 2, Page 169-194, October 2026.ABSTRACT We define a range of new coarse geometric invariants based on various graph–theoretic measures of complexity for finite graphs, including treewidth, pathwidth, cutwidth and bandwidth. We prove that, for bounded degree graphs, these invariants can be used to define functions which satisfy a strong monotonicity property, namely, they are ...
Wanying Huang +3 more
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Journal of Algebra, 1995 Let \(D\) be a division ring, \(V\) a vector space over \(D\) of infinite dimension. Say that an element \(g \in \text{GL} (V)\) is cofinitary if \(\dim_D C_V (g)\) is finite. A subgroup \(G \leq \text{GL} (V)\) is called cofinitary if all its non-trivial elements are cofinitary.
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