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20112026
most citedAbelian quotients and orbit sizes of finite groups

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

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Showing 2026 · math.GRShow all

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math.GR2026

Characterizing normal Hall subgroups by character degrees, II

Yong Yang

We prove that a Hall -subgroup of a finite group is normal if and only if every irreducible constituent of the permutation character has -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 and every , we construct a finite metabelian group 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 , assume that is solvable, and let 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 -closed if every faithful permutation representation of it is -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 , following the analogous w…

math.GR2026

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

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