Barbara Rokowska's combinatorial research with her extensive biography (1926--2012)

TL;DR

This paper summarizes Barbara Rokowska's significant contributions to combinatorial mathematics, including her work on prime number problems, Steiner systems, and her collaboration with notable mathematicians.

Contribution

It presents the first comprehensive overview of Rokowska's main results and her influence in finite mathematics and combinatorics.

Findings

Solved Erdos's prime number problem

Highlighted construction difficulties of Steiner systems

Emphasized importance of rigorous proof techniques

Abstract

We discuss the significance of some interesting results by Barbara Rokowska about combinatorial constructions. Her interest in finite mathematics and number theory began with an embellishment and detailing of some work by Erdos. Rokowska and Schinzel then solved the problem posed by Paul Erdos concerning the existence of prime numbers of a certain kind. Her subsequent work highlighted the difficulty in constructing Steiner systems with certain properties and showed the importance of rigorous proof techniques in this area of mathematics. This is the first such summary of the main results obtained by Rokowska, her collaborators and PhD students. A biography of Barbara Rokowska has been added as an appendix.