Zobrazeno 1 - 10
of 36
pro vyhledávání: '"Simion, Iulian I."'
Let $p$ be a prime. We construct a function $f$ on the natural numbers such that $f(x) \to \infty$ as $x \to \infty$ and $k_{p}(G)+k_{p'}(G)\geq f(|G|)$ for all finite groups $G$. Here $k_{p}(G)$ denotes the number of conjugacy classes of nontrivial
Externí odkaz:
http://arxiv.org/abs/2406.11199
Autor:
Simion, Iulian I., Testerman, Donna M.
The category of linear algebraic groups admits non-surjective epimorphisms. For simple algebraic groups of rank $2$ defined over algebraically closed fields, we show that the minimal dimension of a closed epimorphic subgroup is $3$.
Externí odkaz:
http://arxiv.org/abs/2303.17440
Autor:
Maróti, Attila, Simion, Iulian I.
H\'ethelyi and K\"ulshammer showed that the number of conjugacy classes $k(G)$ of any solvable finite group $G$ whose order is divisible by the square of a prime $p$ is at least $(49p+1)/60$. Here an asymptotic generalization of this result is establ
Externí odkaz:
http://arxiv.org/abs/2003.05356
Autor:
Paolini, Alessandro, Simion, Iulian I.
Let $G$ be a finite reductive group defined over $\mathbb{F}_q$, with $q$ a power of a prime $p$. Motivated by a problem recently posed by C. Curtis, we first develop an algorithm to express each element of $G$ into a canonical form in terms of a ref
Externí odkaz:
http://arxiv.org/abs/1810.05378
Autor:
Simion, Iulian I.
Publikováno v:
Transformation Groups; Sep2024, Vol. 29 Issue 3, p1199-1211, 13p
Autor:
Carnovale, Giovanna, Simion, Iulian I.
A conjecture of De Concini Kac and Procesi provides a bound on the minimal possible dimension of an irreducible module for quantized enveloping algebras at an odd root of unity. We pose the problem of the existence of modules whose dimension equals t
Externí odkaz:
http://arxiv.org/abs/1512.04724
We prove that there exists a universal constant $c$ such that any finite primitive permutation group of degree $n$ with a non-trivial point stabilizer is a product of no more than $c\log n$ point stabilizers.
Externí odkaz:
http://arxiv.org/abs/1508.05659
We consider factorizations of a finite group $G$ into conjugate subgroups, $G=A^{x_{1}}\cdots A^{x_{k}}$ for $A\leq G$ and $x_{1},\ldots ,x_{k}\in G$, where $A$ is nilpotent or solvable. First we exploit the split $BN$-pair structure of finite simple
Externí odkaz:
http://arxiv.org/abs/1501.05678
Let $G$ be a finite non-solvable group. We prove that there exists a proper subgroup $A$ of $G$ such that $G$ is the product of three conjugates of $A$, thus replacing an earlier upper bound of $36$ with the smallest possible value. The proof relies
Externí odkaz:
http://arxiv.org/abs/1501.05676
Publikováno v:
In Journal of Algebra 1 February 2017 471:399-408