Voir la notice de l'article provenant de la source Math-Net.Ru
@article{JSFU_2018_11_1_a14, author = {Aleksei A. Shlepkin}, title = {On a sufficient condition when an infinite group is not simple}, journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika}, pages = {103--107}, publisher = {mathdoc}, volume = {11}, number = {1}, year = {2018}, language = {en}, url = {http://geodesic.mathdoc.fr/item/JSFU_2018_11_1_a14/} }
TY - JOUR AU - Aleksei A. Shlepkin TI - On a sufficient condition when an infinite group is not simple JO - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika PY - 2018 SP - 103 EP - 107 VL - 11 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JSFU_2018_11_1_a14/ LA - en ID - JSFU_2018_11_1_a14 ER -
Aleksei A. Shlepkin. On a sufficient condition when an infinite group is not simple. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 1, pp. 103-107. http://geodesic.mathdoc.fr/item/JSFU_2018_11_1_a14/
[1] R. Brauer, “On structure of groups of finite order”, Proceedings of the International Congress of Mathematicians (1954), 209–217 | MR
[2] V.V. Belyaev, “On groups with almost regular involution”, Algebra i logika, 26:5 (1987), 521–535 (in Russian) | DOI | MR
[3] R. Brauer, “On the structure of groups of finite order”, Proceedings of the International Congress of Mathematicians (1954), 209–217 | MR
[4] A.A. Cherep, “On elements of finite order in biprimitively finite groups”, Algebra i logika, 26 (1987), 518–521 (in Russian) | DOI | MR
[5] A.P. Ditsman, “On the center of $ p $-groups”, Trudy seminara po teorii grup (Moscow, 1938), 30–34 (in Russian)
[6] M.I. Kargapolov, Yu.I. Merzlyakov, Fundamentals of Group Theory, Nauka, M., 1982 (in Russian) | MR
[7] A.A. Kuznetsov, K.A. Filippov, “Groups saturated by sets of groups”, Sib. electr. mat. izv., 8 (2011), 230–246 (in Russian) | MR
[8] V.D. Mazurov, “On the set of orders of elements of a finite group”, Algebra i logika, 8:1 (1994), 81–89 (in Russian) | MR
[9] A.N. Ostylovsky, V.P. Shunkov, “On the local finiteness of a class of groups with the minimality condition”, Izuch. teorii grup (Krasnoyarsk, 1975), 32–48 (in Russian) | MR
[10] V.I. Senashov, V.P. Shunkov, Groups with finiteness conditions, Izdatel'stvo SB RAN, Novosibirsk, 2001 (in Russian) | MR
[11] A.I. Sozutov, “On groups with almost perfect involution”, Tr. IMM UrB RAS, 13, no. 1, 2007, 183–190 (in Russian) | MR
[12] A.K. Shlepkin, “Conjugately double-primitive finite groups containing finite unsolvable subgroups”, Third Intern. Conf. In algebra, Sat. Tez. (August 23–28, 1993) (in Russian)
[13] A.K. Shlepkin, “On conjugately biprimitively finite groups with a primary minimum condition”, Algebra i logika, 22 (1983), 226–231 (in Russian) | DOI | MR
[14] V.P. Shunkov, “On periodic groups with almost regular involution”, Algebra i logika, 4 (1972), 470–493 (in Russian) | MR
[15] V.P. Shunkov, “On a class of groups with involutions ($T_0$-groups)”, Mat. Raboty, 1:1 (1998), 139–202 (in Russian) | MR