DisCoMath Seminar: An Algebraic Proof That the Binary Fano Plane is Almost Rigid
An Algebraic Proof That the Binary Fano Plane is Almost Rigid
Dr. Kristijan Tabak
Senior Lecturer
Mathematics, Humanities, Natural and Social Sciences, RIT Croatia
Abstract:
The existence of a binary q-analog of a Fano plane is still unknown. Kiermaier, Kurz and Wassermann proved that automorphism group of a binary q-analog of a Fano plane is almost trivial, it contains at most two elements. The method used there involved Kramer - Masner method together with an extensive computer search. In this paper we provide an algebraic (computer free) proof that automorphism group of a binary q-analog of a Fano plane contains at most two elements. We used group theory with calculations in a suitable group rings.
Speaker Bio:
Dr. Tabak is a member of the faculty at RIT Croatia. He graduated theoretical mathematics and completed his Ph.D. in algebraic combinatorics at University of Zagreb. Prior to joining RIT, Dr. Tabak was working as a research assistant at the Department of Applied Mathematics on Faculty of Electrical Engineering and Computing (University of Zagreb). Dr. Tabak's research interests include Group Theory, Representation Theory, Difference Sets and q-analogs of designs.
Intended Audience:
Undergraduates, graduates, and experts. Those with interest in the topic.
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