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This volume contains the proceedings of the Amitsur Centennial Symposium, held from November 1–4, 2021, virtually and at the Israel Institute for Advanced Studies (IIAS), The Hebrew University of Jerusalem, Jerusalem, Israel.Shimshon Amitsur was a pioneer in several branches of algebra, the leading algebraist in Israel for several decades who contributed major theorems, inspiring results, useful observations, and enlightening tricks to many areas of the field. The sixteen papers included in the volume represent the broad impact of Amitsur's work on such areas as the theory of finite simple groups, algebraic groups, PI-algebras and growth of rings, quadratic forms and division algebras, torsors and Severi-Brauer surfaces, octonion rings, Hopf algebras and braces, invariants, automorphisms and derivations.
Avinoam Mann, Hebrew University of Jerusalem, Israel.Louis H. Rowen, Bar-Ilan University, Ramat Gan, Israel.David J. Saltman, Center for Communications and Research, Princeton, NJ.Aner Shalev, Hebrew University of Jerusalem, Israel.Lance W. Small, University of California, San Diego, La Jolla, CA.Uzi Vishne, Bar-Ilan University, Ramat Gan, Israel.
Avinoam Mann, Shimshon Avraham Amitsur (1921-1994)Avinoam Mann, Challenges for 21st century group theoryL. Alpoge, N. M. Katz, G. Navarro, E. A. O'Brien, and P. H. Tiep, Local systems and Suzuki groupsTimothy C. Burness and Robert M. Guralnick, On the generation of simple groups by Sylow subgroupsMiriam Cohen and Sara Westreich, Representations of the quantum double of quasitriangular Hopf algebrasAdam Chapman and Anne Queguiner-Mathieu, Minimal quadratic forms for the function field of a conic in characteristic 2Uriya A. First, Highly versal torsorsBe'eri Greenfeld, Louis Rowen, and Lance Small, Optimal representability results of PI-algebras: Nilpotency, growth and chain conditionsDaniel Krashen and Max Lieblich, Transcendental splitting fields of division algebrasMichael Larsen and Aner Shalev, Groups versus ringsEliyahu Matzri, On the symbol length of symbolsOksana Bezushchak, Anatoliy Petravchuk, and Efim Zelmanov, Automorphisms and derivations of commutative and PI-algebrasClaudio Procesi, Tensor fundamental theorems of invariant theoryIgor A. Rapinchuk, Algebraic groups with good reduction and the genus problemDavid J. Saltman, Genus 1 curves in Severi-Brauer surfacesAgata Smoktunowicz, More on skew braces and their ideals