Research in group theory has long embraced equations as a means to elucidate the structure and behaviour of groups. In particular, Diophantine problems—those surrounding the existence and ...

MATH30200 Number Theory, and MATH33300 Group Theory are recommended but not necessary. Integers and rational numbers are the first numbers we encounter, and as such they are, in a way the easiest ...

Let (X, μ) be a probability measure space and $T_{1},\ldots ,T_{n}$ be a family of commuting, measure preserving invertible transformations on X. Let $Q(m_{1},\ldots ...

MATH30200 Number Theory, and MATH33300 Group Theory are recommended but not necessary. Integers and rational numbers are the first numbers we encounter, and as such they are, in a way the easiest ...

This is a preview. Log in through your library . Abstract In this paper, we present a new technique for determining all perfect powers in so-called Pell sequences. To be precise, given a positive ...