AbstractIf G is a p-solvable finite group, P is a self-normalizing Sylow p-subgroup of G with derived subgroup P′, and Ψ is the sum of all the irreducible characters of G of degree not divisible by p, then we prove that the integer Ψ(P′zP′) is divisible by |P| for all z∈G. This answers a question of J. Alperin
AbstractWe show that if A is an elementary abelian normal p-subgroup of a finite group G and P is a ...
Let G be a finite solvable or symmetric group, and let B be a 2-block of G. We construct a canonica...
AbstractAn irreducible complex character of a finite group is called monomial if it is induced from ...
AbstractIf G is a p-solvable finite group, P is a self-normalizing Sylow p-subgroup of G with derive...
AbstractSuppose that G is a finite group, let p be a prime and let P∈Sylp(G). We prove that P is nor...
AbstractIn this paper we study groups for which every real irreducible character has degree not divi...
AbstractThe McKay conjecture states that the number of irreducible complex characters of a groupGtha...
Let G be a finite solvable group. We show that G does not have a normal nonabelian Sylow p-subgroup ...
AbstractLet G be a finite solvable group, p be some prime, let P be a Sylow p-subgroup of G, and let...
We prove that a finite group G has a normal Sylow p-subgroup P if, and only if, every irreducible ch...
Let G be an arbitrary nite group and x a prime p. Let S be a Sylow p-subgroup of G. In [19], J. McKa...
Let G be a p-solvable group, P ≤ G a p-subgroup and χ ∈ Irr(G) such that χ(1)p ≥ |G : P |p. We prove...
AbstractIsaacs conjectured that if G is solvable and α and β are faithful characters of G such that ...
AbstractIf N is a normal p-subgroup of a finite group G and θ∈Irr(N) is a G-invariant irreducible ch...
AbstractRecent results of the author prove the existence of bijections of certain sets of irreducibl...
AbstractWe show that if A is an elementary abelian normal p-subgroup of a finite group G and P is a ...
Let G be a finite solvable or symmetric group, and let B be a 2-block of G. We construct a canonica...
AbstractAn irreducible complex character of a finite group is called monomial if it is induced from ...
AbstractIf G is a p-solvable finite group, P is a self-normalizing Sylow p-subgroup of G with derive...
AbstractSuppose that G is a finite group, let p be a prime and let P∈Sylp(G). We prove that P is nor...
AbstractIn this paper we study groups for which every real irreducible character has degree not divi...
AbstractThe McKay conjecture states that the number of irreducible complex characters of a groupGtha...
Let G be a finite solvable group. We show that G does not have a normal nonabelian Sylow p-subgroup ...
AbstractLet G be a finite solvable group, p be some prime, let P be a Sylow p-subgroup of G, and let...
We prove that a finite group G has a normal Sylow p-subgroup P if, and only if, every irreducible ch...
Let G be an arbitrary nite group and x a prime p. Let S be a Sylow p-subgroup of G. In [19], J. McKa...
Let G be a p-solvable group, P ≤ G a p-subgroup and χ ∈ Irr(G) such that χ(1)p ≥ |G : P |p. We prove...
AbstractIsaacs conjectured that if G is solvable and α and β are faithful characters of G such that ...
AbstractIf N is a normal p-subgroup of a finite group G and θ∈Irr(N) is a G-invariant irreducible ch...
AbstractRecent results of the author prove the existence of bijections of certain sets of irreducibl...
AbstractWe show that if A is an elementary abelian normal p-subgroup of a finite group G and P is a ...
Let G be a finite solvable or symmetric group, and let B be a 2-block of G. We construct a canonica...
AbstractAn irreducible complex character of a finite group is called monomial if it is induced from ...
DOI
Add to ORKG