The covering number of a group G, denoted by σ (G), is the size of a minimal collection of
proper subgroups of G whose union is G. We investigate which integers are covering …

Covering the set of p-elements in finite groups by Sylow p-subgroups - ScienceDirect Skip to
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A set of proper subgroups is a cover for a group if its union is the whole group. The minimal
number of subgroups needed to cover G is called the covering number of G, denoted by …

The covering number of a finite group G, denoted σ (G), is the smallest positive integer k
such that G is a union of k proper subgroups. We calculate σ (G) for a family of primitive …

Let p be a prime and let G be a finite group which is generated by the set G p of its p-
elements. We show that if G is solvable and not a p-group, then the minimal number σ p (G) …

Let G be the symmetric group of degree n. Let ω (G) be the maximal size of a subset S of G
such that< x, y>= G whenever x, y∈ S and x≠ y and let σ (G) be the minimal size of a family …

A cover of an associative (not necessarily commutative nor unital) ring R is a collection of
proper subrings of R whose set-theoretic union equals R. If such a cover exists, then the …

Let G be the alternating group of degree n. Let ω (G) be the maximal size of a subset S of G
such that< x, y>= G whenever x, y∈ S and x≠ y and let σ (G) be the minimal size of a family …

We classify the maximal subrings of the ring of n× n matrices over a finite field, and show that
these subrings may be divided into three types. We also describe all of the maximal subrings …

Full article: The normal covering of some symmetric groups of even degree Skip to Main
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