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Let $G$ be a finite group and write $cd (G)$ for the degree set of the complex irreducible characters of $G$ . The group $G$ is said to satisfy the two-prime hypothesis if for any distinct degrees $a, b \in cd (G)$ , the total number of (not necessarily different) primes of the greatest common divisor $gcd (a, b)$ is at most $2$ . We prove an upper bound on the number of irreducible character degrees of a nonsolvable group that has a composition factor isomorphic to PSL $_{2} (q)$ for $q \geq 7$ .

...-Groups that are M-Groups.

Murray Schacher, Gary M. Seitz (1972)

Mathematische Zeitschrift

Groups where each element is conjugate to its certain power

Pál Hegedűs (2013)

Open Mathematics

This paper deals with a rationality condition for groups. Let n be a fixed positive integer. Suppose every element g of the finite solvable group is conjugate to its nth power g n. Let p be a prime divisor of the order of the group. We conclude that the multiplicative order of n modulo p is small, or p is small.

Groups with a Steinberg Character.

Forrest A. Richen (1972)

Mathematische Zeitschrift

Groups with only two nonlinear non-faithful irreducible characters

Xiaoyou Chen, Mark L. Lewis (2019)

Czechoslovak Mathematical Journal

We determine the groups with exactly two nonlinear non-faithful irreducible characters whose kernels intersect trivially.

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Displaying 81 – 100 of 233

Generalizations of partial difference sets from cyclotomy to nonelementary Abelian $p$ -groups.

Generalizations of the standard Artin representation are unitary.

Generalized Clifford Correspondences for Group Characters.

Geometry of pseudocharacters.

Group actions on Cartesian powers with applications to represenation theory.

Group representations and integrality.

Groups All of Whose Subgroups are M-Groups.

Groups satisfying the two-prime hypothesis with a composition factor isomorphic to PSL $_{2} (q)$ for $q \geq 7$

...-Groups that are M-Groups.

Groups where each element is conjugate to its certain power

Groups with a Steinberg Character.

Groups with only two nonlinear non-faithful irreducible characters

Gruppendeterminant

Hecke algebras and characters of parabolic type of finite group with $(B, N)$ -pairs

Homotopiedarstellungen endlicher Gruppen: Dimensionsfunktionen.

Homotopy equivalent group representations and Picard groups of the burnside ring and the character ring.

Huppert’s conjecture for $F i_{23}$

Hurwitz equivalence in dihedral groups.

Hurwitz equivalence in tuples of dihedral groups, dicyclic groups, and semidihedral groups.

Hurwitz equivalence in tuples of generalized quaternion groups and dihedral groups.

Currently displaying 81 – 100 of 233