Syllabus
Isotopy of loops and quasigroups and their interpretation by means of latin squares.
Important algebraic varieties of loops.
Constructions of various classes of loops.
Connections with projective planes.
Quasifields, nearfields and semifields.
Connections with group theory and cryptography.
More information may be retrieved from the exam requirements.
Annotation
Výběrová přednáška pojednávající o základech teorie lup a kvazigrup a o jejich souvislostech s projektivními rovinami a s kvazitělesy.