Roman Mikhailov

activity

20092026

most citedOn the pure virtual braid group

P V_{3}

4 citations · 7 across the 7 of their papers we have counts for

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3 papers · 1 filter

math.GT2026

Two results on asphericity

Roman Mikhailov

We construct an explicit finite chain of non-aspherical group presentation complexes $K (X) \subset K (Y) \subset K (Z)$ in which $K (Y)$ is Cockcroft…

math.GT2009★ 2 cited

Brunnian Braids on Surfaces

V. G. Bardakov, R. Mikhailov, V. V. Vershinin +1

We determine a set of generators for the Brunnian braids on a general surface $M$ for $M \neq = S^{2}$ or $\RP^2$. For the case $M = S^{2}$ or $\RP^2$, a set of generators for the Brunnian…

math.GT2009★ 4 cited

On the pure virtual braid group $P V_{3}$

V. G. Bardakov, R. Mikhailov, V. V. Vershinin +1

In this article, we investigate various properties of the pure virtual braid group PV_3. From its canonical presentation, we obtain a free product decomposition of PV_3. As a conse…

Two results on asphericity

Brunnian Braids on Surfaces

On the pure virtual braid group PV3​

On the pure virtual braid group $P V_{3}$