On 3-net and 4-nets in Left Semifield Plane

This thesis examines 3-nets and 4-nets defined in an affine plane derived from the Baer projective subplane of the 9th-order Hall projective plane. The thesis is structured into six chapters. The first chapter introduces the purpose and scope of the study. The second chapter provides a review of the relevant literature. The third chapter explains fundamental concepts related to projective planes. The fourth chapter focuses on the investigation of specific 3-net structures within the Baer subplane of a projective plane obtained from a semifield. The fifth chapter explores certain 4-net structures. The sixth and final chapter presents the conclusions of the study and offers recommendations.