Results 61 to 70 of about 49,568 (240)
Residually nilpotent groups of homological dimension 1
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3223-3232, October 2025.Abstract If p$p$ is a prime number, then any free group is residually a finite p$p$‐group and has homological dimension 1. As a partial converse of this assertion, in this paper we show that any finitely generated group of homological dimension 1, which is residually a finite p$p$‐group, is free.
Ioannis Emmanouil
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A description of a class of finite semigroups that are near to being Malcev nilpotent
, 2012 In this paper we continue the investigations on the algebraic structure of a finite semigroup $S$ that is determined by its associated upper non-nilpotent graph $\mathcal{N}_{S}$.
E. JESPERS +3 more
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Nilpotency and Theory of L-Subgroups of an L-Group
Fuzzy Information and Engineering, 2014 In this paper, the notion of commutator is modified and extended to L-setting. Also, the notion of descending central series is introduced which is used to formulate the important notion of nilpotent L-subgroup of an L-group.
Naseem Ajmal, Iffat Jahan
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The relative Hodge–Tate spectral sequence for rigid analytic spaces
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract We construct a relative Hodge–Tate spectral sequence for any smooth proper morphism of rigid analytic spaces over a perfectoid field extension of Qp$\mathbb {Q}_p$. To this end, we generalise Scholze's strategy in the absolute case by using smoothoid adic spaces.
Ben Heuer
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On invariant ideals in group rings of torsion-free minimax nilpotent groups
Researches in Mathematics, 2023 Let $k$ be a field and let $N$ be a nilpotent minimax torsion-free group acted by a solvable group of operators $G$ of finite rank. In the presented paper we study properties of some types of $G$-invariant ideals of the group ring $kN$.
A.V. Tushev
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Probabilistically nilpotent groups [PDF]
Proceedings of the American Mathematical Society, 2017 To appear in Proc. Amer.
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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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Locally finite p-groups with all subgroups either subnormal or nilpotent-by-Chernikov [PDF]
International Journal of Group Theory, 2012 We pursue further our investigation, begun in [H.~Smith, Groups with all subgroups subnormal or nilpotent-by-{C}hernikov, emph{Rend. Sem. Mat. Univ. Padova} 126 (2011), 245--253] and continued in [G.~Cutolo and H.~Smith, Locally finite groups with all ...
H. Smith, G. Cutolo
doaj
Congruences associated with families of nilpotent subgroups and a theorem of Hirsch
Comptes Rendus. Mathématique, 2023 Our main result associates a family of congruences with each suitable system of nilpotent subgroups of a finite group. Using this result, we complete and correct the proof of a theorem of Hirsch concerning the class number of a finite group of odd order.
Aivazidis, Stefanos, Müller, Thomas
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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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