Iulian I. Simion

activity

20152024

most citedBounding the number of classes of a finite group in terms of a prime

11 citations · 12 across the 9 of their papers we have counts for

collaborators

11 papers

math.GR2024

More on Landau's theorem and Conjugacy Classes

Burcu Çınarcı, Thomas Michael Keller, Attila Maróti +1

In this paper we present two new results on the number of certain conjugacy classes of a finite group. For a finite group $G$ , let $n (G)$ be the maximum of $k_{p} (G)$ taken over al…

math.GR2023

Covering numbers of unipotent conjugacy classes in simple algebraic groups

Iulian Ion Simion

For simple algebraic groups defined over algebraically closed fields of good characteristic, we give upper bounds on the covering numbers of unipotent conjugacy classes in terms of…

math.GR2023

Products of conjugacy classes in simple algebraic groups in terms of diagrams

Iulian Ion Simion

For a simple algebraic group $G$ over an algebraically closed field, we study products of normal subsets. For this we mark the nodes of the Dynkin diagram of $G$ . We use two types…

math.GR2023

On minimal epimorphic subgroups in simple algebraic groups of rank $2$

Iulian I. Simion, Donna M. Testerman

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 minim…

math.KT2022

Hochschild cohomology of some finite category algebras as simplicial cohomology

I. -I. Simion, C. -C. Todea

By a result of Gerstenhaber and Schack the simplicial cohomology ring $H^{*} (C; k)$ of a poset $C$ is isomorphic to the Hochschild cohomology ring $HH^*(k\mathcal{…

math.GR2020★ 11 cited

Bounding the number of classes of a finite group in terms of a prime

Attila Maróti, Iulian I. Simion

Héthelyi and Külshammer 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+…

math.GR2018

On refined Bruhat decompositions and endomorphism algebras of Gelfand-Graev representations

Alessandro Paolini, Iulian I. Simion

Let $G$ be a finite reductive group defined over $F_{q}$ , with $q$ a power of a prime $p$ . Motivated by a problem recently posed by C. Curtis, we first develop an algorithm…

math.RT2015

On small modules for quantum groups at roots of unity

Giovanna Carnovale, Iulian I. Simion

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…

math.GR2015

Primitive permutation groups as products of point stabilizers

Martino Garonzi, Dan Levy, Attila Maróti +1

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…

math.GR2015

Groups equal to a product of three conjugate subgroups

John Cannon, Martino Garonzi, Dan Levy +2

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 u…

math.GR2015★ 1 cited

Factorizations of finite groups by conjugate subgroups which are solvable or nilpotent

Martino Garonzi, Dan Levy, Attila Maróti +1

We consider factorizations of a finite group $G$ into conjugate subgroups, $G = A^{x_{1}} \dots A^{x_{k}}$ for $A \leq G$ and $x_{1}, \dots, x_{k} \in G$ , where $A$ is nilpotent or sol…

More on Landau's theorem and Conjugacy Classes

Covering numbers of unipotent conjugacy classes in simple algebraic groups

Products of conjugacy classes in simple algebraic groups in terms of diagrams

On minimal epimorphic subgroups in simple algebraic groups of rank 2

Hochschild cohomology of some finite category algebras as simplicial cohomology

Bounding the number of classes of a finite group in terms of a prime

On refined Bruhat decompositions and endomorphism algebras of Gelfand-Graev representations

On small modules for quantum groups at roots of unity

Primitive permutation groups as products of point stabilizers

Groups equal to a product of three conjugate subgroups

Factorizations of finite groups by conjugate subgroups which are solvable or nilpotent

On minimal epimorphic subgroups in simple algebraic groups of rank $2$