Let G be a finite group and p a prime. We say that a p-regular element g of G is p-nonvanishing if no irreducible p-Brauer character of G takes the value 0 on g. The main result of this paper shows that if G is solvable and g is a p-regular element which is p-nonvanishing, then g lies in a normal subgroup of G whose p-length and p'-length are both at most 2 (with possible exceptions for p\leq 7), the bound being best possible. This result is obtained through the analysis of one particular orbit condition in linear actions of solvable groups on finite vector spaces, and it generalizes (for p>7) some results in Dolfi and Pacifici [\u2018Zeros of Brauer characters and linear actions of finite groups\u2019, J. Algebra 340 (2011), 104\u2013113]
AbstractLet G be a finite group and B be a p-block of G with an abelian defect group and inertial in...
AbstractWe prove that a set of characters of a finite group can only be the set of characters for pr...
AbstractLet G be a finite group and p a prime number. We say that an element g in G is a vanishing e...
We describe the finite groups whose p-Brauer character table, for p = 2 or p = 3, does not contain a...
Let G be a finite group, and p a prime number greater than 3. It is known that, if every irreducible...
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 group and p a prime number. We say that an element g in G is a vanishing element o...
We show that if A is an elementary abelian normal p-subgroup of a finite group G and P is a Sylow p-...
AbstractFor a finite group G and a fixed prime p, one can attach to each irreducible Brauer characte...
AbstractIn this paper, we consider elements x of a finite group G with the property that χ(x)≠0 for ...
AbstractLet G be a finite group and B be a p-block of G with an abelian defect group and inertial in...
Let G be a finite group, and let Irr(G) denote the set of irreducible complex characters of G. An el...
AbstractThe finite group G is said to have p-length 1 if there exist normal subgroups H ⊆K ⊆G such t...
AbstractThe aim of this paper is studying the groups in which the zeros of every irreducible charact...
Our first main result proves that every element of order 4 of a Sylow 2-subgroup S of a minimal non-...
AbstractLet G be a finite group and B be a p-block of G with an abelian defect group and inertial in...
AbstractWe prove that a set of characters of a finite group can only be the set of characters for pr...
AbstractLet G be a finite group and p a prime number. We say that an element g in G is a vanishing e...
We describe the finite groups whose p-Brauer character table, for p = 2 or p = 3, does not contain a...
Let G be a finite group, and p a prime number greater than 3. It is known that, if every irreducible...
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 group and p a prime number. We say that an element g in G is a vanishing element o...
We show that if A is an elementary abelian normal p-subgroup of a finite group G and P is a Sylow p-...
AbstractFor a finite group G and a fixed prime p, one can attach to each irreducible Brauer characte...
AbstractIn this paper, we consider elements x of a finite group G with the property that χ(x)≠0 for ...
AbstractLet G be a finite group and B be a p-block of G with an abelian defect group and inertial in...
Let G be a finite group, and let Irr(G) denote the set of irreducible complex characters of G. An el...
AbstractThe finite group G is said to have p-length 1 if there exist normal subgroups H ⊆K ⊆G such t...
AbstractThe aim of this paper is studying the groups in which the zeros of every irreducible charact...
Our first main result proves that every element of order 4 of a Sylow 2-subgroup S of a minimal non-...
AbstractLet G be a finite group and B be a p-block of G with an abelian defect group and inertial in...
AbstractWe prove that a set of characters of a finite group can only be the set of characters for pr...
AbstractLet G be a finite group and p a prime number. We say that an element g in G is a vanishing e...