A. Martino

activity

20072026

most citedOrbit decidability and the conjugacy problem for some extensions of groups

3 citations · 5 across the 6 of their papers we have counts for

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Showing 2025Show all

3 papers · 1 filter

math.GR2025

Coset correct means on groups and the probability that two elements commute

Armando Martino, Motiejus Valiunas

Amenable groups are those admitting an invariant mean -- a finitely additive probability mean that assigns equal ``weight'' to any two translates of the same set. We introduce cose…

math.GR2025

Finiteness properties of Subgroups of Houghton Groups of full Hirsch length

Charles Garnet Cox, Peter Kropholler, Armando Martino

In the 1980's K.S. Brown proved that the Houghton group $H_{n}$ is of type $F_{n - 1}$ but not $FP_{n}$ . We show that, provided $n \geq 3$ , the same conclusion…

math.GR2025

Property $R_{\infty}$ for groups with infinitely many ends

Francesco Fournier-Facio, Harry Iveson, Armando Martino +2

We show that an accessible group with infinitely many ends has property $R_{\infty}$ . That is, it has infinitely many twisted conjugacy classes for any twisting automorphism. We de…

Coset correct means on groups and the probability that two elements commute

Finiteness properties of Subgroups of Houghton Groups of full Hirsch length

Property R∞​ for groups with infinitely many ends

Property $R_{\infty}$ for groups with infinitely many ends