arXiv subjects

Aleksander Zabłocki

Publications and source records attributed to Aleksander Zabłocki.

2 recordsLinked to original sources

arXiv2016

Trees of multidisks as Gromov boundaries of amalgamated products

We describe, under some additional technical assumptions, the Gromov boundary of the free product of several $G_i$'s amalgamated wrt. $H$, where $G_i$ are hyperbolic groups with boundary homeomorphic to a densely punctured $n$-sphere, and $H$ is their common subgroup corresponding to a peripheral sphere in each of the $\partial G_i$'s.

math.GT↗

arXiv2016

On irreducibility of certain Schur polynomials over fields of finite characteristic

We present an elementary proof that the Schur polynomial corresponding to an increasing sequence of exponents (c_0,..., c_{n-1}) with c_0 = 0 is irreducible over every field of characteristic p whenever the numbers d_i = c_{i+1} - c_i are all greater than 1, not divisible by p, and satisfy gcd(d_i, d_{i+1}) = 1 for every i.

math.AC↗