Let G be a finite p-solvable group and N a normal subgroup of G. Suppose that B is a p-block of G with defect group D such that |D| > |D ∩ N|. Given μ ∈ Irr(N), we show that the set of height zero characters in Irr(B) that lie over μ is either empty or contains two or more elements
AbstractLet A and G be finite groups with (|A|,|G|)=1. We assume that A acts on G via automorphism. ...
AbstractA ‘partial’ inner product with respect to a given subset of Irr(G) is introduced and its bas...
AbstractSuppose that G is a finite group, let p be a prime and let P∈Sylp(G). We prove that P is nor...
Let G be a finite p-group, where p is an odd prime number, H be a subgroup of G and θ ∈ Irr(H) be an...
We study the finite groups with an irreducible character χ satisfying the following hypothesis: χ2 h...
AbstractLet G be a finite p-group, where p is a prime number, and χ and ψ be faithful complex irredu...
AbstractIn this paper we examine the behavior of lifts of Brauer characters in p-solvable groups. In...
AbstractLet G be a finite group and χ be an irreducible complex character. We study the character χ2...
AbstractThe Fong–Swan theorem shows that for a p-solvable group G and Brauer character φ∈IBrp(G), th...
Let p be a prime number. Let G be a finite p-group and χ ∈ Irr(G). Denote by the -χ ∈ Irr(G) complex...
AbstractIf b is a p-block of a normal subgroup N of a finite group G of odd order and b⁎ is its Brau...
We study the finite groups G with a faithful irreducible character whose square is a linear combinat...
AbstractLetAandGbe finite groups with coprime orders, and suppose thatAacts onGby automorphisms. Let...
AbstractLet p be a prime divisor of the order of a finite group G. Thompson (1970, J. Algebra14, 129...
AbstractWe study the solvable groups G that have an irreducible character χ∈Irr(G) such that χχ¯ has...
AbstractLet A and G be finite groups with (|A|,|G|)=1. We assume that A acts on G via automorphism. ...
AbstractA ‘partial’ inner product with respect to a given subset of Irr(G) is introduced and its bas...
AbstractSuppose that G is a finite group, let p be a prime and let P∈Sylp(G). We prove that P is nor...
Let G be a finite p-group, where p is an odd prime number, H be a subgroup of G and θ ∈ Irr(H) be an...
We study the finite groups with an irreducible character χ satisfying the following hypothesis: χ2 h...
AbstractLet G be a finite p-group, where p is a prime number, and χ and ψ be faithful complex irredu...
AbstractIn this paper we examine the behavior of lifts of Brauer characters in p-solvable groups. In...
AbstractLet G be a finite group and χ be an irreducible complex character. We study the character χ2...
AbstractThe Fong–Swan theorem shows that for a p-solvable group G and Brauer character φ∈IBrp(G), th...
Let p be a prime number. Let G be a finite p-group and χ ∈ Irr(G). Denote by the -χ ∈ Irr(G) complex...
AbstractIf b is a p-block of a normal subgroup N of a finite group G of odd order and b⁎ is its Brau...
We study the finite groups G with a faithful irreducible character whose square is a linear combinat...
AbstractLetAandGbe finite groups with coprime orders, and suppose thatAacts onGby automorphisms. Let...
AbstractLet p be a prime divisor of the order of a finite group G. Thompson (1970, J. Algebra14, 129...
AbstractWe study the solvable groups G that have an irreducible character χ∈Irr(G) such that χχ¯ has...
AbstractLet A and G be finite groups with (|A|,|G|)=1. We assume that A acts on G via automorphism. ...
AbstractA ‘partial’ inner product with respect to a given subset of Irr(G) is introduced and its bas...
AbstractSuppose that G is a finite group, let p be a prime and let P∈Sylp(G). We prove that P is nor...