Attila Maróti

activity

20102015

most citedFactorizations of finite groups by conjugate subgroups which are solvable or nilpotent

1 citations · 4 across the 6 of their papers we have counts for

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math.GR2015★ 1 cited

Factorizations of finite groups by conjugate subgroups which are solvable or nilpotent

Martino Garonzi, Dan Levy, Attila Maróti +1

We consider factorizations of a finite group $G$ into conjugate subgroups, $G = A^{x_{1}} \dots A^{x_{k}}$ for $A \leq G$ and $x_{1}, \dots, x_{k} \in G$ , where $A$ is nilpotent or sol…

math.GR2014★ 1 cited

On the number of $p^{'}$ -degree characters in a finite group

Gunter Malle, Attila Maróti

Let $p$ be a prime divisor of the order of a finite group $G$ . Then $G$ has at least $2 p - 1$ complex irreducible characters of degrees prime to $p$ . In case $p$ is a prime w…

math.GR2014★ 1 cited

On the number of conjugacy classes of a permutation group

Attila Maróti, Martino Garonzi

We prove that any permutation group of degree $n \geq 4$ has at most $5^{(n - 1) /3}$ conjugacy classes.

math.GR2012★ 1 cited

Normal coverings of linear groups

John R. Britnell, Attila Maroti

For a non-cyclic finite group $G$ , let $γ (G)$ denote the smallest number of conjugacy classes of proper subgroups of $G$ needed to cover $G$ . Bubboloni, Praeger and Spiga, motivate…

math.GR2010

Average dimension of fixed point spaces with applications

Robert M. Guralnick, Attila Maroti

Let $G$ be a finite group, $F$ a field, and $V$ a finite dimensional $F G$ -module such that $G$ has no trivial composition factor on $V$ . Then the arithmetic average dimension of th…