Zobrazeno 1 - 10
of 154
pro vyhledávání: '"20F70"'
Autor:
Mikheenko, Mikhail A.
Every abelian (and even every nilpotent) group contains a solution of any finite unimodular system of equations over itself. However, this is not true for infinite systems. We deduced a criterion for a periodic abelian group to contain a solution of
Externí odkaz:
http://arxiv.org/abs/2410.20729
Autor:
Kudlinska, Monika, Valiunas, Motiejus
A group $G$ is said to be equationally Noetherian if every system of equations in $G$ is equivalent to a finite subsystem. We show that all free-by-cyclic groups are equationally Noetherian. As a corollary, we deduce that the set of exponential growt
Externí odkaz:
http://arxiv.org/abs/2407.08809
Autor:
Bos, Len, Waldron, Shayne
We give a holomorphic quartic polynomial in the overlap variables whose zeros on the torus are precisely the Weyl-Heisenberg SICs (symmetric informationally complete positive operator valued measures). By way of comparison, all the other known system
Externí odkaz:
http://arxiv.org/abs/2405.14123
Autor:
Raisi, O. Al, Shahryari, M.
A group is CSA, if all of its maximal abelian subgroups are malnormal. It is known that every non-abelian CSA group is an equational domain. We generalize this result in two directions: we show that for a non-nilpotent group $G$ and a fixed positive
Externí odkaz:
http://arxiv.org/abs/2401.11397
Autor:
Shahryari, M.
We study groups, all maximal nilpotent subgroups of class at most $k$ in which are malnormal. We show that such groups share many similar properties with the ordinary CSA groups. Similarly, we introduce the class of {\em nilpotency transitive} groups
Externí odkaz:
http://arxiv.org/abs/2310.14353
Autor:
Mikheenko, Mikhail A.
Any group that has a subnormal series, in which all factors are abelian and all except the last one are $p'$-torsion-free, can be embedded into a group with a subnormal series of the same length, with the same properties and such that any $p$-nonsing
Externí odkaz:
http://arxiv.org/abs/2309.09096
Publikováno v:
Aequationes mathematicae xx(yy) (2024) aa-bb
In universal algebraic geometry, an algebra is called an equational domain if the union of two algebraic sets is algebraic. We characterize equational domains, with respect to polynomial equations, inside congruence permutable varieties, and with res
Externí odkaz:
http://arxiv.org/abs/2309.00478
Autor:
Yadav, Rohit
Let $\mathbf{F}$ be the free group on two generators $a, b$ and let a family of words $w = [[a, b], [a^3, b^n]]$ in $\mathbf{F}$. In this paper we examine surjectivity of word map $w$ on special unitary group SU(2) over complex field $\mathbf{C}$.
Externí odkaz:
http://arxiv.org/abs/2301.08219
Autor:
Ascari, Dario
Let $F$ be a finitely generated free group, and let $H\le F$ be a finitely generated subgroup. An equation for an element $g\in F$ with coefficients in $H$ is an element $w(x)\in H*\langle x \rangle$ such that $w(g)=1$ in $F$; the degree of the equat
Externí odkaz:
http://arxiv.org/abs/2211.10276
Autor:
Ascari, Dario
Let $F$ be a finitely generated free group and let $H\le F$ be a finitely generated subgroup. Given an element $g\in F$, we study the ideal $\mathfrak{I}_g$ of equations for $g$ with coefficients in $H$, i.e. the elements $w(x)\in H*\langle x\rangle$
Externí odkaz:
http://arxiv.org/abs/2207.04759