Mariam Pirashvili

activity

20152026

most citedOn the complexity of zero-dimensional multiparameter persistence

1 citations · 3 across the 9 of their papers we have counts for

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4 papers · 1 filter

math.GR2021

Symmetric cohomology of groups and Poincaré duality

Mariam Pirashvili, Teimuraz Pirashvili

Let $G$ be a finite group of order $n$ and let $M$ be a $G$ -module. We construct groups $H_{*}^{ϰ} (G, M)$ for which $H_{k}^{ϰ} (G, M^{tw}) ≅ H_{λ}^{n - k - 1} (G, M),$ where $M^{…

math.GR2020★ 1 cited

On the nonabelian cohomology with coefficients in a crossed module

Mariam Pirashvili

This paper is concerned with the nonabelian cohomology of groups with coefficients in crossed modules. These objects were introduced by Dedecker and studied by Breen, Borovoi, Nooh…

math.GR2017

Symmetric cohomology of groups

Mariam Pirashvili

We investigate the relationship between the symmetric, exterior and classical cohomologies of groups. The first two theories were introduced respectively by Staic and Zarelua. We s…

math.GR2015

Endomorphisms in short exact sequences

Mariam Pirashvili

We sudy the behaviour of endomorphisms and automorphisms of groups involved in abelian group extensions. The main result can be stated as follows: Let $0 \to N \to G \to Q \to 1$ be a…