2023 Ural workshop on group theory and combinatorics

N. V. Maslova

Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 30 (2024) no. 1, pp. 284-293

Résumé

A review of the main events of the 2023 Ural Workshop on Group Theory and Combinatorics, held online during the period 21 to 27 August 2023, is presented, and a list of open problems with comments is given. Open problems were formulated by the participants at the Open Problems Session held on August 27, 2023.

Détail

Keywords: power graph, enhanced power graph, independence graph of a group, rank graph of a group, finite group, isomorphism of groups, average element order, deficient element, locally finite group, distance-regular graph, Krein graph, strongly regular graph, Gruenberg–Kegel graph (prime graph), almost simple group, Cayley graph, edge-transitive graph, normal cover of a graph, $2$-arc-transitive graph, semisymmetric graph, complete class of groups, Baer–Suzuki width, symmetric boundary of a class of groups.
Mots-clés : $\pi$-solvable group, simple group, solvable group, clique graph

Bibliographie

[1] 2023 Ural Workshop on Group Theory and Combinatorics, [e-resource], Available on: URL: http://2023uwgtc.imm.uran.ru

[2] N.N. Krasovskii Institute of Mathematics and Mechanics, [e-resource], Available on: URL: https://www.imm.uran.ru/eng

[3] Institute of Natural Sciences and Mathematics, Ural Federal University, Russia, [e-resource], Available on: URL: (in Russian) https://insma.urfu.ru/ru/

[4] Ural Mathematical Center, [e-resource], Available on: URL: https://umc.urfu.ru/en/

[5] Ural Seminar on Group Theory and Combinatorics, [e-resource], Available on: URL: https://http://uwgtc.imm.uran.ru

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