Zobrazeno 1 - 10
of 373
pro vyhledávání: '"20F14"'
For an odd prime $p$, we determine the lower central series of a large family of non-periodic GGS-groups, which has a density of roughly $(\frac{p-1}{p})^2$ within all GGS-groups. This means a significant extension of the knowledge regarding the lowe
Externí odkaz:
http://arxiv.org/abs/2410.07371
Autor:
Linton, Marco
We show that the intersection of the rational derived series of a one-relator group is rationally perfect and is normally generated by a single element. As a corollary, we characterise precisely when a one-relator group is residually rationally solva
Externí odkaz:
http://arxiv.org/abs/2407.09272
The study of verbal subgroups within a group is well-known for being an effective tool to obtain structural information about a group. Therefore, conditions that allow the classification of words in a free group are of paramount importance. One of th
Externí odkaz:
http://arxiv.org/abs/2404.06308
Autor:
Suciu, Alexander I.
A complex hyperplane arrangement $\mathcal{A}$ is said to be decomposable if there are no elements in the degree 3 part of its holonomy Lie algebra besides those coming from the rank 2 flats. When this purely combinatorial condition is satisfied, it
Externí odkaz:
http://arxiv.org/abs/2404.04784
Autor:
Enomoto, Naoya, Satoh, Takao
In this paper, we study the Johnson homomorphisms of basis-conjugating automorphism groups of free groups. We construct obstructions for the surjectivity of the Johnson homomorphisms. By using it, we determine its cokernels of degree up to four, and
Externí odkaz:
http://arxiv.org/abs/2403.04286
We provide sufficient conditions for a free amalgamated product of torsionfree nilpotent groups to be residually nilpotent. We also characterise the residual nilpotence of certain higher-dimensional amalgams of unipotent groups over the rationals (kn
Externí odkaz:
http://arxiv.org/abs/2402.14507
Autor:
Sokolov, E. V.
Let $G$ be the generalized free product of two groups with an amalgamated subgroup. We propose an approach that allows one to use results on the residual $p$-finiteness of $G$ for proving that this generalized free product is residually a finite nilp
Externí odkaz:
http://arxiv.org/abs/2312.00285
We investigate the occurrence of elements of order $p$ in the upper central series of a finite $p$-group.
Comment: 11 pages - In this version we have added some indecomposable examples
Comment: 11 pages - In this version we have added some indecomposable examples
Externí odkaz:
http://arxiv.org/abs/2307.06584
A group element is called a generalized torsion if a finite product of its conjugates is equal to the identity. We prove that in a nilpotent or FC-group, the generalized torsion elements are all torsion elements. Moreover, we compute the generalized
Externí odkaz:
http://arxiv.org/abs/2302.09589
Autor:
Filip, Simion, Tosatti, Valentino
Publikováno v:
J. Geom. Anal. 34 (2024), no. 3, Paper No. 76, 14 pp
We construct examples of canonical closed positive currents on projective K3 surfaces that are not fully supported on the complex points. The currents are the unique positive representatives in their cohomology classes and have vanishing self-interse
Externí odkaz:
http://arxiv.org/abs/2302.08633