Edith Adan-Bante

most citedProducts of characters with few irreducible constituents

3 citations · 3 across the 6 of their papers we have counts for

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math.GR2005

Induction of Characters and Finite $p$ -Groups

Edith Adan-Bante

Let $G$ be a finite $p$ -group, where $p$ is an odd prime number, $H$ be a subgroup of $G$ and $θ\in \Irr(H)$ be an irreducible character of $H$ . Assume also that $∣ G : H ∣ = p^{2}$ . Then…

math.GR2005

Conjugacy classes and finite $p$ -groups

Edith Adan-Bante

Let $G$ be a finite $p$ -group, where $p$ is a prime number, and $a \in G$ . Denote by $\Cl(a)=\{gag^{-1}\mid g\in G\}$ the conjugacy class of $a$ in $G$ . Assume that $|\Cl(a)|=p^n$.…

math.GR2004★ 3 cited

Products of characters with few irreducible constituents

Edith Adan-Bante

We study the solvable groups $G$ that have an irreducible character $χ\in \Irr(G)$ such that $χ χ ˉ$ has at most two non-principal irreducible constituents.

math.GR2004

Products of characters and derived length II

Edith Adan-Bante

Let $G$ be a finite solvable group and $χ, ψ\in \Irr(G)$ be complex characters of $G$ . Let $α$ be an irreducible constituent of the product $χ ψ$ . We show that the derived length of…

math.GR2004

Squares of characters and finite groups

Edith Adan-Bante

Let $G$ be a group of odd order and $χ$ be a complex irreducible character. Then there exists a unique character $χ^{(2)}\in\Irr(G)$ such that $[χ^{2}, χ^{(2)}]$ is odd. Also, there e…

math.GR2004

Products of Characters and Finite $p$ -groups III

Edith Adan-Bante

Let $G$ be a finite $p$ -group and $χ, ψ$ be irreducible characters of $G$ . We study the character $χ ψ$ when $χ ψ$ has at most $p - 1$ distinct irreducible constituents.

Induction of Characters and Finite p-Groups

Conjugacy classes and finite p-groups

Products of characters with few irreducible constituents

Products of characters and derived length II

Squares of characters and finite groups

Products of Characters and Finite p-groups III

Induction of Characters and Finite $p$ -Groups

Conjugacy classes and finite $p$ -groups

Products of Characters and Finite $p$ -groups III