arXiv subjects

Ivo Michailov Michailov

Publications and source records attributed to Ivo Michailov Michailov.

2 recordsLinked to original sources

arXiv2013

Bogomolov multipliers for unitriangular groups

The Bogomolov multiplier $B_0(G)$ of a finite group $G$ is defined as the subgroup of the Schur multiplier consisting of the cohomology classes vanishing after restriction to all abelian subgroups of $G$. In this paper we give a positive answer to an open problem posed by Kang and Kunyavskiĭ in \cite{KK}. Namely, we prove that if $G$ is either a unitriangular group over $\f$, a quotient of its lower central series, a subgroup of its lower central series, or a central product of two unitriangular groups, then $B_0(G)=0$.

math.AG↗

arXiv2012

Galois realizability of groups of orders $p^5$ and $p^6$

Let $p$ be an odd prime, and let $k$ be an arbitrary field of characteristic not $p$. In this article we determine the obstructions for the realizability as Galois groups over $k$ of all groups of orders $p^5$ and $p^6$, that have an abelian quotient obtained by factoring out central subgroups of order $p$ or $p^2$. These obstructions are decomposed as products of $p$-cyclic algebras, provided that $k$ contains certain roots of unity.

math.AG↗