Zobrazeno 1 - 10
of 96
pro vyhledávání: '"Minian, Elias"'
We investigate conditions that guarantee local indicability of groups that admit presentations with the homology of a circle, generalizing a result of J. Howie for two-relator presentations. We apply our results to investigate local indicability of L
Externí odkaz:
http://arxiv.org/abs/2308.07447
We prove that the $2$-complex associated to the presentation $\langle a,b \mid b,bab^{-1}a^{-2}\rangle$ has contracting non-positive immersions and positive maximal irreducible curvature. This example shows that the contracting non-positive immersion
Externí odkaz:
http://arxiv.org/abs/2306.00260
Autor:
Minian, Elias Gabriel
We introduce a Morse theory for posets of Bestvina-Brady type combining matchings and height functions. This theory generalizes Forman's discrete Morse theory for regular CW-complexes and extends previous results on Morse theory for $h$-regular poset
Externí odkaz:
http://arxiv.org/abs/2205.11062
We present a metric condition ${\LARGE{\tau}}'$ which describes the geometry of classical small cancellation groups and applies also to other known classes of groups such as two-dimensional Artin groups. We prove that presentations satisfying conditi
Externí odkaz:
http://arxiv.org/abs/2006.13779
We introduce the notion of strictly systolic angled complexes. They generalize Januszkiewickz and \'Swi\k{a}tkowski's $7$-systolic simplicial complexes and also their metric counterparts, which appear as natural analogues to Huang and Osajda's metric
Externí odkaz:
http://arxiv.org/abs/1907.06738
The simplicial complexity is an invariant for finitely presentable groups that was recently introduced by Babenko, Balacheff and Bulteau to study systolic area. The simplicial complexity $\kappa(G)$ was proved to be a good approximation of the systol
Externí odkaz:
http://arxiv.org/abs/1907.01667
We study the fundamental group of the $p$-subgroup complex of a finite group $G$. We show first that $\pi_1(A_3(A_{10}))$ is not a free group (here $A_{10}$ is the alternating group on $10$ letters). This is the first concrete example in the literatu
Externí odkaz:
http://arxiv.org/abs/1903.03549
We introduce the notion of cylinder of a relation in the context of posets, extending the construction of the mapping cylinder. We establish a local-to-global result for relations, generalizing Quillen's Theorem A for order preserving maps, and deriv
Externí odkaz:
http://arxiv.org/abs/1801.07235
The notion of covering type was recently introduced by Karoubi and Weibel to measure the complexity of a topological space by means of good coverings. When X has the homotopy type of a finite CW-complex, its covering type coincides with the minimum p
Externí odkaz:
http://arxiv.org/abs/1712.02833
We study the homotopy properties of the posets of p-subgroups Sp(G) and Ap(G) of a finite group G, viewed as finite topological spaces. We answer a question raised by R.E. Stong in 1984 about the relationship between the contractibility of the finite
Externí odkaz:
http://arxiv.org/abs/1612.04302