17 papers
Classifying Solvable Primitive Permutation Groups of Low Rank
Mallory Dolorfino, Luke Martin, Zachary Slonim +2
Suppose that is a finite, transitive, solvable permutation group acting on a set with elements. Let be the stabilizer of a point . Define the rank of a pe…
A classification of prime graphs of pseudo-solvable groups
Ziyu Huang, Thomas Michael Keller, Shane Kissinger +3
The prime graph of a finite group (also known as the Gruenberg-Kegel graph) has as its vertices the prime divisors of , and is an edge in if and o…
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}.
Two results on character codegrees
Yang Liu, Yong Yang
Let be a finite group and be the set of irreducible characters of . The codegree of an irreducible character of the group is defined as $\mathrm{co…
A lower bound for the number of odd-degree representations of a finite group
Nguyen Ngoc Hung, Thomas Michael Keller, Yong Yang
Let be a finite group and a Sylow -subgroup of . We obtain both asymptotic and explicit bounds for the number of odd-degree irreducible complex representations of …
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,…