A. Maróti

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20122021

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4 papers · 1 filter

math.GR2021

On partial augmentations of elements in integral group rings

Victor Bovdi, Attila Maroti

Inner relations are derived between partial augmentations of certain elements (units or idempotents) in group rings.

math.GR2020

p-Regular conjugacy classes and p-rational irreducible characters

Nguyen Ngoc Hung, Attila Maroti

Let $G$ be a finite group of order divisible by a prime $p$ . The number of $p$ -regular and $p^{'}$ -regular conjugacy classes of $G$ is at least $2 p - 1$ . Also, the number of $p$ -…

math.GR2018

Base sizes of primitive groups: bounds with explicit constants

Zoltan Halasi, Martin W. Liebeck, Attila Maroti

We show that the minimal base size $b (G)$ of a finite primitive permutation group $G$ of degree $n$ is at most $2 (lo g ∣ G ∣/ lo g n) + 24$ . This bound is asymptotically best possibl…

math.GR2012

Covering certain Wreath Products with Proper Subgroups

Martino Garonzi, Attila Maroti

For a non-cyclic finite group $X$ let $σ (X)$ be the least number of proper subgroups of $X$ whose union is $X$ . Precise formulas or estimates are given for $σ (S ≀ C_{m})$ for cer…