Yong Yang

activity

20112026

most citedAbelian quotients and orbit sizes of finite groups

7 citations · 19 across the 37 of their papers we have counts for

collaborators

40 papers

math.GR2026

Characterizing normal Hall subgroups by character degrees, II

Yong Yang

We prove that a Hall $π$ -subgroup $H$ of a finite group $G$ is normal if and only if every irreducible constituent of the permutation character $1_{H}^{G}$ has $π^{'}$ -degree.

math.GR2026

On Intersections of System Normalizers

Ting Gong, Yuan Lu, Yong Yang +1

We give a negative answer to Problem 17.39 of the Kourovka Notebook. For every odd prime power $q$ and every $m \geq 1$ , we construct a finite metabelian group $G_{m, q}$ with $Z_\inf…

math.GR2026

The Codegree Isomorphism Conjecture for Finite Simple Groups

Yong Yang

We prove the codegree isomorphism conjecture for finite simple groups. Thus every nonabelian finite simple group is determined, among finite groups, by its set of irreducible chara…

math.GR2026

Brauer character degrees and nilpotent subgroups

Yong Yang

We solve a question raised by Chen and Navarro concerning Brauer characters and nilpotent subgroups. Let $N ⊲ G$ , assume that $G / N$ is solvable, and let $N \leq H \leq G$ with $H/N…

math.GR2026

Total 3-closure for projective special linear groups

Ting Gong, Yong Yang, Michael Ruofan Zeng

A finite group is totally $3$ -closed if every faithful permutation representation of it is $3$ -closed. We study this property for the finite simple projective special linear groups…

math.GR2026

Commuting pairs in symplectic Lie algebras over finite fields of characteristic two

Liam May, Yong Yang

We find a generating function for the number of ordered commuting pairs of elements in a symplectic Lie algebra over a finite field of characteristic $2$ , following the analogous w…

math.GR2026

Components of the Divisibility Graph of Finite Groups of Lie Type in Defining Characteristic $2$

Liam May, Yong Yang

We determine the connected components of the divisibility graph of several families of finite groups of Lie type in defining characteristic $2$ , extending the result of Abdolghafou…

math.GR2026

Alternating Groups and Embeddings into Groups Invariably Generated by Two Prime-Order Elements

Ting Gong, Yong Yang, Michael Ruofan Zeng

For any distinct primes $p$ and $q$ , we prove that there is a finite group which does not embed into any finite group invariably generated by an element of order $p$ and an element…

cs.AI2026

Albilich: Steerable Proof-State Orchestration for LLM-Based Mathematical Research with CAS Integration

Ting Gong, Michael Ruofan Zeng, Yong Yang

Large language models can contribute useful ideas to mathematical research, yet long-horizon proof attempts remain difficult to coordinate, evaluate, and reproduce. We present Albi…

math.GR2023

Classifying Primitive Solvable Permutation Groups of Rank 5 and 6

Anakin Dey, Kolton O'Neal, Duc Van Khanh Tran +2

Let $G$ be a finite solvable permutation group acting faithfully and primitively on a finite set $Ω$ . Let $G_{0}$ be the stabilizer of a point $α \in Ω$ The rank of $G$ is defined as…

math.GR2023

On the Characterization of Sporadic Simple Groups by Codegrees

Mallory Dolorfino, Luke Martin, Zachary Slonim +2

Let $G$ be a finite group and $Irr (G)$ the set of all irreducible complex characters of $G$ . Define the codegree of $χ \in Irr (G)$ as $\mathrm{cod}(χ):=\frac{|G:\m…

math.GR2023

On the Characterization of Alternating Groups by Codegrees

Mallory Dolorfino, Luke Martin, Zachary Slonim +2

Let $G$ be a finite group and $Irr (G)$ the set of all irreducible complex characters of $G$ . Define the codegree of $χ \in Irr (G)$ as $\mathrm{cod}(χ):=\frac{|G:\m…

math.GR2022

Classifying Solvable Primitive Permutation Groups of Low Rank

Mallory Dolorfino, Luke Martin, Zachary Slonim +2

Suppose that $G$ is a finite, transitive, solvable permutation group acting on a set $S$ with $n$ elements. Let $G_{0}$ be the stabilizer of a point $α \in Ω$ . Define the rank of a pe…

math.GR2022

A classification of prime graphs of pseudo-solvable groups

Ziyu Huang, Thomas Michael Keller, Shane Kissinger +3

The prime graph $Γ (G)$ of a finite group $G$ (also known as the Gruenberg-Kegel graph) has as its vertices the prime divisors of $∣ G ∣$ , and $p - q$ is an edge in $Γ (G)$ if and o…

math.GR2021

Regular orbits of finite primitive solvable groups, the final classification

Derek Holt, Yong Yang

Suppose that a finite solvable group $G$ acts faithfully, irreducibly and quasi-primitively on a finite vector space $V$ , and $G$ is not metacyclic. Then $G$ always has a regular o…

math.RA2021

Biderivations, commuting mappings and (2-)local derivations of $N$ -graded Lie algebras of maximal class

Yong Yang, Liming Tang, Liangyun Chen

In Fialowski's classification for algebras of maximal class, there are three Lie algebras of maximal class with 1-dimensional homogeneous components: $m_{0}$ , $L_{1}$ and $\…

math.GR2021

Codegrees of primitive characters of solvable groups

Ping Jin, Lei Wang, Yong Yang

We obtain the codegree of a certain primitive character for a finite solvable group, and thereby give a negative answer to a question proposed by Moretó in \cite{Moreto}.

math.GR2021

Two results on character codegrees

Yang Liu, Yong Yang

Let $G$ be a finite group and $Irr (G)$ be the set of irreducible characters of $G$ . The codegree of an irreducible character $χ$ of the group $G$ is defined as $\mathrm{co…

math.GR2021★ 6 cited

The Prime Graphs of Some Classes of Finite Groups

Chris Florez, Jonathan Higgins, Kyle Huang +3

In this paper we study prime graphs of finite groups. The prime graph of a finite group $G$ , also known as the Gruenberg-Kegel graph, is the graph with vertex set {primes dividing…

math.GR2020★ 1 cited

A lower bound for the number of odd-degree representations of a finite group

Nguyen Ngoc Hung, Thomas Michael Keller, Yong Yang

Let $G$ be a finite group and $P$ a Sylow $2$ -subgroup of $G$ . We obtain both asymptotic and explicit bounds for the number of odd-degree irreducible complex representations of $G$ …

math.RT2020

On deformations of metric Lie superalgebras

Yong Yang

In this paper we study metric deformations of indecomposable metric Lie superalgebras with dimensions less or equal to 6. We consider formal deformations obtained by even cocycles,…

math.GR2020

A note on larger orbit size

Jin Ping, Yong Yang

In this note, we present an improvement on the large orbit result of Halasi and Podoski, and then answer an open question raised by Chen, Cossey, Lewis, and Tong-Viet.

math.GR2019

On the odd order composition factors of finite linear groups

Alexander Betz, Max Chao-Haft, Ting Gong +2

In this paper, we study the product of orders of composition factors of odd order in a composition series of a finite linear group. First we generalize a result by Manz and Wolf ab…

math.GR2019

Finite Permutation Groups with Few Orbits Under the Action on the Power Set

Alexander Betz, Max Chao-Haft, Ting Gong +3

We study the orbits under the natural action of a permutation group $G \subseteq S_{n}$ on the powerset $P ({1, \dots, n})$ . The permutation groups having exactly $n + 1$ o…

Characterizing normal Hall subgroups by character degrees, II

On Intersections of System Normalizers

The Codegree Isomorphism Conjecture for Finite Simple Groups

Brauer character degrees and nilpotent subgroups

Total 3-closure for projective special linear groups

Commuting pairs in symplectic Lie algebras over finite fields of characteristic two

Components of the Divisibility Graph of Finite Groups of Lie Type in Defining Characteristic 2

Alternating Groups and Embeddings into Groups Invariably Generated by Two Prime-Order Elements

Albilich: Steerable Proof-State Orchestration for LLM-Based Mathematical Research with CAS Integration

Classifying Primitive Solvable Permutation Groups of Rank 5 and 6

On the Characterization of Sporadic Simple Groups by Codegrees

On the Characterization of Alternating Groups by Codegrees

Classifying Solvable Primitive Permutation Groups of Low Rank

A classification of prime graphs of pseudo-solvable groups

Regular orbits of finite primitive solvable groups, the final classification

Biderivations, commuting mappings and (2-)local derivations of N-graded Lie algebras of maximal class

Codegrees of primitive characters of solvable groups

Two results on character codegrees

The Prime Graphs of Some Classes of Finite Groups

A lower bound for the number of odd-degree representations of a finite group

On deformations of metric Lie superalgebras

A note on larger orbit size

On the odd order composition factors of finite linear groups

Finite Permutation Groups with Few Orbits Under the Action on the Power Set

Components of the Divisibility Graph of Finite Groups of Lie Type in Defining Characteristic $2$

Biderivations, commuting mappings and (2-)local derivations of $N$ -graded Lie algebras of maximal class