This paper is about the XV school-conference on group theory dedicated to the 95th Birthday of M. I. Kargapolov. The paper contains biographical information about M. I. Kargapolov, a survey of principal events held at the school-conference and the list of open problems posed by the participants with comments to these problems.
Keywords: automorphism, Gruenberg—Kegel graph (prime graph), solvable graph, group, distance-regular graph, involution, locally finite group, Mazurov triple, Rota—Baxter operator, periodic group, regular $3$-polytope, strongly regular graph, centralizer, $AT$-group, $D_\pi$-group, $SR$-group, $\pi$-length of group
Received February 12, 2025
Revised February 22, 2025
Accepted February 24, 2025
Funding Agency: The work is supported by the Ministry of Science and Higher Education of the Russian Federation (project for the development of the Regional Scientific and Educational Mathematical Center “Ural Mathematical Center”).
Ivan Nikolaevich Belousov, Cand. Sci. (Phyth.-Math.), Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences, Yekaterinburg, 620108 Russia; Ural Federal University, Yekaterinburg, 620083 Russia, e-mail: i_belousov@mail.ru
Anatolii Semenovich Kondrat’ev, Dr. Phys.-Math. Sci., Prof., Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences, Yekaterinburg, 620108 Russia, e-mail: a.s.kondratiev@imm.uran.ru
Viktor Danilovich Mazurovv, Dr. Phys.-Math. Sci., RAS Corresponding Member, Prof., Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090 Russia, e-mail: mazurov@math.nsc.ru
Natalia Vladimirovna Maslova, Dr. Phys.-Math. Sci., Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences, Yekaterinburg, 620108 Russia; Ural Federal University, Yekaterinburg, 620083 Russia; Ural Mathematical Center, Yekaterinburg, 620083 Russia, e-mail: butterson@mail.ru
Aleksander Alekseevich Makhnev, Dr. Phys.-Math. Sci., RAS Corresponding Member, Prof., Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences, Yekaterinburg, 620108 Russia; Ural Federal University, Yekaterinburg, 620083 Russia, e-mail: makhnev@imm.uran.ru
Nikolai Alesandrovich Minigulov, Cand. Sci. (Phyth.-Math.), Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences, Yekaterinburg, 620108 Russia; Ural Federal University, Yekaterinburg, 620083 Russia, e-mail: n.a.minigulov@imm.uran.ru
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Cite this article as: I.N. Belousov, A.S. Kondrat’ev, V.D. Mazurov, N.V. Maslova, A.A. Makhnev, N.A. Minigulov. XV school-conference on group theory dedicated to the 95th Birthday of M.I. Kargapolov. Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2025, vol. 31, no. 1, pp. 273–285.
