Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/111247
Title: Open Questions Formulated at the 13th School–Conference on Group Theory Dedicated to V. A. Belonogov’s 85th Birthday
Other Titles: Открытые проблемы, сформулированные на XIII школе-конференции по теории групп, посвященной 85-летию В.А. Белоногова
Authors: Maslova, N. V.
Belousov, I. N.
Minigulov, N. A.
Issue Date: 2020
Publisher: Krasovskii Institute of Mathematics and Mechanics
Krasovskii Institute of Mathematics and Mechanics UB RAS
Citation: Maslova N. V. Open Questions Formulated at the 13th School–Conference on Group Theory Dedicated to V. A. Belonogov’s 85th Birthday [Открытые проблемы, сформулированные на XIII школе-конференции по теории групп, посвященной 85-летию В.А. Белоногова] / N. V. Maslova, I. N. Belousov, N. A. Minigulov // Trudy Instituta Matematiki i Mekhaniki UrO RAN. — 2020. — Vol. 26. — Iss. 3. — P. 275-285.
Abstract: A review of the main events of the 13th School–Conference on Group Theory, which was held online on August 3–7, 2020, is presented, and a list of open questions with comments is given. Open questions were formulated by the participants at the Open Problems Session held at the end of the school–conference. Among the posed problems there are a series of questions on the characterization of a finite group by its arithmetic invariants such as the spectrum, the Gruenberg–Kegel graph, the solvabile graph, and the degrees of irreducible complex characters (L. S. Kazarin, A. S. Kondrat’ev, and N. V. Maslova); the question of the conjugacy of the Sylow 2-subgroups in locally finite groups with additional conditions on these subgroups (V. D. Mazurov); a series of problems on the characterization of distance-regular graphs by their intersection arrays (A. A. Makhnev); the question of the nilpotent length of a finite solvable group whose Carter subgroup coincides with the Gaschütz subgroup (V. S. Monakhov); a series of problems about the structure of conjugately biprimitively finite groups or Shunkov groups (A. I. Sozutov); a question on the structure of some matrix groups over a residue ring Zn for a positive integer n (V. A. Roman’kov); a question on the characterization of Mazurov triples in finite groups (A. V. Timofeenko); and other open questions of the modern group theory and its applications. V. A. Belonogov’s brief biography and the list of his main publications are also presented. © Krasovskii Institute of Mathematics and Mechanics.
Keywords: CARTER SUBGROUP
CONJUGATELY BIPRIMITIVELY FINITE GROUP (SHUNKOV GROUP)
FINITE GROUP
GASCHÜTZ SUBGROUP
GRUENBERG–KEGEL GRAPH
LOCALLY FINITE GROUP
MAZUROV TRIPLE
PERIODIC GROUP
SOLVABILE GRAPH
SPECTRUM
SYLOW 2-SUBGROUP
URI: http://hdl.handle.net/10995/111247
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 85095720025
PURE ID: 13944881
ISSN: 0134-4889
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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