Article
Licensed
Unlicensed
Requires Authentication
Character degree sums of finite groups
-
Attila Maróti
and
Hung Ngoc Nguyen
Published/Copyright:
October 31, 2013
Abstract
We present some results on character degree sums in connection with several important characteristics of finite groups such as p-solvability, solvability, supersolvability, and nilpotency. Some of them strengthen known results in the literature.
Funding source: 7th European Community Framework Programme
Award Identifier / Grant number: Marie Curie International Reintegration Grant
Funding source: Hungarian Academy of Sciences
Award Identifier / Grant number: János Bolyai Research Scholarship
Funding source: OTKA
Award Identifier / Grant number: K84233
We are grateful to the anonymous referees for the excellent comments and insightful suggestions that have significantly improved the exposition of the paper.
Received: 2013-4-25
Revised: 2013-9-13
Published Online: 2013-10-31
Published in Print: 2015-7-1
© 2015 by De Gruyter
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- Frontmatter
- Notes on occupation time fluctuations of binary branching particle systems
- On the sum of two integral squares in certain quadratic fields
- A Cesàro average of Goldbach numbers
- Groups described by element numbers
- The second main theorem for entire curves into Hilbert modular surfaces
- L∞ norms of holomorphic modular forms in the case of compact quotient
- SU(2)-Donaldson invariants of the complex projective plane
- Pairs of diagonal quadratic forms and linear correlations among sums of two squares
- The subelliptic heat kernel on the three-dimensional solvable Lie groups
- Lp boundedness of the commutators of Marcinkiewicz integrals with rough kernels
- Circle-valued Morse theory for complex hyperplane arrangements
- Atomic Hp spaces and their duals on open subsets of ℝd
- Locally contractible coset spaces
- L2 and Hp boundedness of strongly singular operators and oscillating operators on Heisenberg groups
- Finite time blow-up for semilinear wave equations with variable coefficients
- Intertwining operators of irreducible representations for exponential solvable Lie groups
- Artin's conjecture and systems of diagonal equations
- The homology of simplicial complements and the cohomology of polyhedral products
- Multivariate spectral multipliers for the Dunkl transform and the Dunkl harmonic oscillator
- Multilinear generalized Radon transforms and point configurations
- On ratios of Petersson norms for Yoshida lifts
- K-groups for rings of finite Cohen–Macaulay type
- Character degree sums of finite groups
- Tame Fréchet submanifolds of co-Banach type
- Weighted norm inequalities for Schrödinger type operators
Keywords for this article
Finite groups;
character degrees;
solvability;
supersolvability;
nilpotency
Articles in the same Issue
- Frontmatter
- Notes on occupation time fluctuations of binary branching particle systems
- On the sum of two integral squares in certain quadratic fields
- A Cesàro average of Goldbach numbers
- Groups described by element numbers
- The second main theorem for entire curves into Hilbert modular surfaces
- L∞ norms of holomorphic modular forms in the case of compact quotient
- SU(2)-Donaldson invariants of the complex projective plane
- Pairs of diagonal quadratic forms and linear correlations among sums of two squares
- The subelliptic heat kernel on the three-dimensional solvable Lie groups
- Lp boundedness of the commutators of Marcinkiewicz integrals with rough kernels
- Circle-valued Morse theory for complex hyperplane arrangements
- Atomic Hp spaces and their duals on open subsets of ℝd
- Locally contractible coset spaces
- L2 and Hp boundedness of strongly singular operators and oscillating operators on Heisenberg groups
- Finite time blow-up for semilinear wave equations with variable coefficients
- Intertwining operators of irreducible representations for exponential solvable Lie groups
- Artin's conjecture and systems of diagonal equations
- The homology of simplicial complements and the cohomology of polyhedral products
- Multivariate spectral multipliers for the Dunkl transform and the Dunkl harmonic oscillator
- Multilinear generalized Radon transforms and point configurations
- On ratios of Petersson norms for Yoshida lifts
- K-groups for rings of finite Cohen–Macaulay type
- Character degree sums of finite groups
- Tame Fréchet submanifolds of co-Banach type
- Weighted norm inequalities for Schrödinger type operators
