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On some classes of groups of finite metabelian rank. (Russian) Zbl 1505.20031


MSC:

20F16 Solvable groups, supersolvable groups
20E34 General structure theorems for groups

References:

[1] Belyaev V. V., “Lokalno konechnye gruppy s chernikovskimi silovskimi \(p\)-podgruppami”, Algebra i logika, 20:6 (1981), 605-619 · Zbl 0489.20032
[2] Glushkov V. M., “O nekotorykh voprosakh teorii nilpotentnykh i lokalno nilpotentnykh grupp bez krucheniya”, Matem. sb., 30:3 (1952), 79-104 · Zbl 0047.02403
[3] Gorchakov Yu. M., “O suschestvovanii abelevykh podgrupp beskonechnogo ranga v lokalno razreshimykh gruppakh”, Dokl. AN SSSR, 156:1 (1964), 17-20
[4] Dashkova O. Yu., Gruppy konechnogo metabeleva ranga, Preprint № 90.1, Izd-vo In-ta matematiki AN USSR, Kiev, 1990
[5] Dashkova O. Yu., “Razreshimye gruppy konechnogo neabeleva ranga”, Ukr. matem. zh., 42:2 (1990), 159-164
[6] Dashkova O. Yu., “Lokalno pochti razreshimye gruppy konechnogo neabeleva ranga”, Ukr. matem. zh., 42:4 (1990), 477-482
[7] Dashkova O. Yu., “Lokalno nilpotentnye gruppy konechnogo neabeleva sektsionnogo ranga”, Ukr. matem. zh., 47:4 (1995), 452-455 · Zbl 0939.20038
[8] Dashkova O. Yu., “Razreshimye gruppy konechnogo neabeleva sektsionnogo ranga”, Ukr. matem. zh., 48:3 (1996), 418-421
[9] Dashkova O. Yu., “Gruppy konechnogo neabeleva sektsionnogo ranga”, Ukr. matem. zh., 49:10 (1997), 1324-1331
[10] Dashkova O. Yu., “Lokalno razreshimye beskonechnomernye lineinye gruppy s ogranicheniyami na neabelevy podgruppy beskonechnykh rangov”, Algebra i logika, 47:5 (2008), 601-616
[11] Dashkova O. Yu., “Razreshimye beskonechnomernye lineinye gruppy s ogranicheniyami na neabelevy podgruppy beskonechnykh rangov”, Sib. matem. zhurn., 49:6 (2008), 1280-1295
[12] Zaitsev D. I., “K teorii minimaksnykh grupp”, Ukr. matem. zh., 23:5 (1971), 652-660 · Zbl 0223.20025
[13] Zaitsev D. I., “O razreshimykh gruppakh konechnogo ranga”, Gruppy s ogranicheniyami dlya podgrupp, Naukova dumka, Kiev, 1971, 115-130 · Zbl 0291.20035
[14] Zaitsev D. I., “O lokalno razreshimykh gruppakh konechnogo ranga”, Dokl. AN SSSR, 240:2 (1978), 257-259
[15] Kargapolov M. I., “O razreshimykh gruppakh konechnogo ranga”, Algebra i logika, 1:5 (1962), 37-44 · Zbl 0145.02601
[16] Kargapolov M. I., Merzlyakov Yu. I., Osnovy teorii grupp, 3-e izd., Nauka, M., 1982 · Zbl 0508.20001
[17] Kurosh A. G., Teoriya grupp, 3-e izd., Nauka, M., 1967
[18] Maltsev A. I., “O gruppakh konechnogo ranga”, Matem. sb., 22:2 (1948), 351-352 · Zbl 0037.15003
[19] Maltsev A. I., “O nekotorykh klassakh beskonechnykh razreshimykh grupp”, Matem. sb., 28:3 (1951), 567-588 · Zbl 0043.02301
[20] Merzlyakov Yu. I., “O lokalno razreshimykh gruppakh konechnogo ranga”, Algebra i logika, 3:2 (1964), 5-16 · Zbl 0142.25802
[21] Merzlyakov Yu. I., “O lokalno razreshimykh gruppakh konechnogo ranga”, Algebra i logika, 8:6 (1969), 686-690
[22] Robinson D., “Novyi podkhod k razreshimym gruppam s usloviyami konechnosti dlya abelevykh podgrupp”, UMN, 34:1 (1979), 197-215 · Zbl 0395.20020
[23] Smirnov D. M., “Ob avtomorfizmakh razreshimykh grupp”, Dokl. AN SSSR, 84:5 (1952), 891-894 · Zbl 0046.24901
[24] Smirnov D. M., “O gruppakh avtomorfizmov razreshimykh grupp”, Matem. sb., 32:2 (1953), 365-384 · Zbl 0050.01803
[25] Smirnov D. M., “O dvukh klassakh razreshimykh grupp konechnogo ranga”, Uch. zapiski Ivanovskogo ped. in-ta, 18 (1958), 67-74
[26] Kholl M., Teoriya grupp, Izd-vo inostr. lit., M., 1962
[27] Kholl F., “O konechnosti nekotorykh razreshimykh grupp”, Novoe v zarubezhnoi nauke. Matematika, 21, 1981, 171-206
[28] Charin V. S., “K teorii lokalno nilpotentnykh grupp”, Matem. sb., 29:2 (1951), 433-454 · Zbl 0054.01101
[29] Charin V. S., “O gruppakh avtomorfizmov nekotorykh klassov razreshimykh grupp”, Ukr. matem. zh., 5:4 (1953), 363-369 · Zbl 0053.01104
[30] Charin V. S., “O lokalno razreshimykh gruppakh konechnogo ranga”, Matem. sb., 41:1 (1957), 37-48 · Zbl 0079.03002
[31] Charin V. S., “O razreshimykh gruppakh tipa \(A_4\)”, Matem. sb., 52:3 (1960), 895-914 · Zbl 0102.26302
[32] Charin V. S., “O razreshimykh gruppakh tipa \(A_3\)”, Matem. sb., 54:4 (1961), 489-499 · Zbl 0102.01706
[33] Shunkov V. P., “O lokalno konechnykh gruppakh s usloviem minimalnosti dlya abelevykh podgrupp”, Algebra i logika, 9:5 (1970), 579-615
[34] Shunkov V. P., “O lokalno konechnykh gruppakh konechnogo ranga”, Algebra i logika, 10:2 (1971), 199-225 · Zbl 0232.20064
[35] Baer R., Heineken H., “Radical groups with finite abelian subgroup rank”, Illinois J. Math., 16:4 (1972), 533-580 · Zbl 0248.20052 · doi:10.1215/ijm/1256065541
[36] Dashkova O. Yu., Dixon M. R., Kurdachenko L. A., “Linear groups
with rank restrictions on the subgroups of infinite central dimension”, J. Pure Appl. Algebra, 208:3 (2007), 785-795 · Zbl 1112.20030 · doi:10.1016/j.jpaa.2006.04.002
[37] Hartley B., “Finite groups of automorphisms of locally soluble groups”, J. Algebra, 57:1 (1979), 242-257 · Zbl 0406.20032 · doi:10.1016/0021-8693(79)90222-9
[38] Huppert B., Endliche Gruppen I, Springer-Verlag, Berlin, etc., 1967 · Zbl 0217.07201
[39] Robinson D. J. S., “A note on groups of finite rank”, Compos. Math., 21:3 (1969), 240-246 · Zbl 0179.32202
[40] Robinson D. J. S., Finiteness Conditions and Generalized Soluble Groups, v. 1, 2, Springer-Verlag, Berlin, etc., 1972 · Zbl 0243.20032
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