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@article{TIMB_2013_21_1_a8, author = {L. A. Kurdachenko and I. Ya. Subbotin and N. A. Turbay}, title = {On influence of formation theory concepts and ideology on infinite group theory}, journal = {Trudy Instituta matematiki}, pages = {69--77}, publisher = {mathdoc}, volume = {21}, number = {1}, year = {2013}, language = {en}, url = {http://geodesic.mathdoc.fr/item/TIMB_2013_21_1_a8/} }
TY - JOUR AU - L. A. Kurdachenko AU - I. Ya. Subbotin AU - N. A. Turbay TI - On influence of formation theory concepts and ideology on infinite group theory JO - Trudy Instituta matematiki PY - 2013 SP - 69 EP - 77 VL - 21 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TIMB_2013_21_1_a8/ LA - en ID - TIMB_2013_21_1_a8 ER -
%0 Journal Article %A L. A. Kurdachenko %A I. Ya. Subbotin %A N. A. Turbay %T On influence of formation theory concepts and ideology on infinite group theory %J Trudy Instituta matematiki %D 2013 %P 69-77 %V 21 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TIMB_2013_21_1_a8/ %G en %F TIMB_2013_21_1_a8
L. A. Kurdachenko; I. Ya. Subbotin; N. A. Turbay. On influence of formation theory concepts and ideology on infinite group theory. Trudy Instituta matematiki, Tome 21 (2013) no. 1, pp. 69-77. http://geodesic.mathdoc.fr/item/TIMB_2013_21_1_a8/
[1] Shemetkov L. A., Formations of finite groups, Nauka, Moscow, 1978 | MR | Zbl
[2] Shemetkov L. A., Skiba A. N., Formations of Algebraic Systems, Nauka, M., 1989 | MR
[3] Schur I., “Uber die Darstellungen der endlichen Gruppen durch gebrochene lineare substitutionen”, J. reine angew. Math., 127 (1904), 20–50 | Zbl
[4] Franciosi S., de Giovanni F., Kurdachenko L. A., “The Schur property and groups with uniform conjugate classes”, Journal Algebra, 1995, no. 174, 823–847 | DOI | MR | Zbl
[5] Wiegold J., “The Schur multiplier: an elementary approach”, London Math. Soc., Lecture Notes Series, 71 (1982), 137–154 | MR | Zbl
[6] Mann A., “The exponents of central factor and commutator groups”, Journal Group Theory, 10 (2007), 435–436 | DOI | MR | Zbl
[7] Adian S. I., “On some torsion-free groups”, Math. USSR. Izv., 1971, no. 5, 459–468
[8] Polovicky Ya. D., “Groups with extremal classes of conjugate elements”, Sibir. Math. J., 5 (1964), 891–895 | MR
[9] Kurdachenko L. A., “On groups with minimax conjugacy classes”, Infinite groups and adjoining algebraic structures, Naukova Dumka, K., 1993, 160–177 | MR
[10] Maltsev A. I., “On groups of finite rank”, Math. Sbornik, 22:2 (1948), 351–352 | MR
[11] Prufer H., “Theorie der Abelschen Gruppen”, Math. Z., 20 (1924), 165–187 | DOI | MR
[12] Baer R., “Local and global hypercentrality and supersolubility. I; II”, Indagationes mathematical, 1966, no. 28, 93–126 | MR | Zbl
[13] Ol'shanskij A. Yu., Geometry of defining relations in groups, Kluwer Acad. Publ., Dordrecht, 1991 | MR
[14] Obraztsov V. N., “An embedding theorem for groups and its corollaries”, Mat. Sbornik, 180:4 (1989), 529–541 (in Russian) | MR | Zbl
[15] Kurdachenko L. A., Shumyatsky P., “The ranks of central factor and commutator groups”, Math. Proc. Cambridge Phil. Soc., 2013 | MR
[16] Dixon M. R., Kurdachenko L. A., Polyakov N. V., “On some ranks of infinite groups”, Ricerche Mat., 56:1 (2007), 43–59 | DOI | MR | Zbl
[17] Neumann B. H., “Groups covered by permutable subsets”, J. London Math. Soc., 29 (1954), 236–248 | DOI | MR | Zbl
[18] Kurdachenko L. A., Otal J., Subbotin I. Ya., “Groups with bounded Chernikov conjugate classes of elements”, Ukrain. Math. J., 54:6 (2002), 979–989 | DOI | MR | Zbl
[19] Kurdachenko L. A., Munos-Escolano J. M., Otal J., “An extension of a theorem by B. H. Neumann on groups with boundedly finite conjugacy classes”, Milan Journal Math., 80:1 (2012), 227–241 | DOI | MR | Zbl
[20] Smith H., “A finiteness condition on normal closures of cyclic subgroups”, Mathematical Proceedings of the Royal Irish Academy, 99A (1999), 179–183 | MR | Zbl
[21] Longobardi P., Maj M., Smith H., “Groups in which normal closures of elements have boundedly finite rank”, Glasgow Math. J., 51 (2009), 341–345 | DOI | MR | Zbl
[22] Kurdachenko L. A., Munos-Escolano J. M., Otal J., “Groups in which the normal closures of cyclic subgroups have finite section rank”, International Journal Algebra and Computation, 2012, no. 22 | MR
[23] Poland J., “On finite groups whose subgroups have simple core factors”, Proc. Japan Acad., 47 (1971), 606–610 | DOI | MR | Zbl
[24] Smith H., Wiegold J., “Locally graded groups with all subgroups normal-by-finite”, Austral. Math. Soc. (Series A), 60 (1996), 222–227 | DOI | MR | Zbl
[25] Buckley J. T., Lennox J. C., Neumann B. H., Smith H., Wiegold J., “Groups with all subgroups normal-by-finite”, J. Austral. Math. Soc. (Series A), 59 (1995), 384–398 | DOI | MR | Zbl
[26] Longobardi P., Maj M., Smith H., “Groups with $H/\mathrm{Core}(H)$ satisfying max or min”, Journal of Algebra, 280 (2004), 180–189 | DOI | MR | Zbl
[27] Smith H., “On groups with all subgroups normal-by-(finite rank)”, J. Group Theory, 7 (2004), 231–242 | DOI | MR | Zbl
[28] Neumann B. H., “Groups with finite classes of conjugate subgroups”, Math. Z., 63 (1955), 76–96 | DOI | MR | Zbl
[29] Dixon M. R,. Subbotin I. Ya., “Groups with finiteness conditions on some subgroup systems: a contemporary stage”, Algebra and Discrete Mathematics, 2009, no. 4, 29–54 | MR | Zbl
[30] Kurdachenko L. A., Otal J., Soules P., “Groups with polycyclic-by-finite conjugate classes of subgroups”, Communications in Algebra, 32:12 (2004), 4769–4784 | DOI | MR | Zbl
[31] Polovicky Ya. D., “The periodic groups with extremal classes of conjugate abelian subgroups”, Izvestiua Vysshyh Uchebnyh Zavedenij. Math., 1977, no. 4, 95–101 | MR
[32] Kurdachenko L. A., Otal J., “Groups with Chernikov classes of conjugate subgroups”, Journal Group Theory, 8:1 (2005), 93–108 | DOI | MR | Zbl