Geodesic
On the associated Lie ring of a free 2-generator group of prime exponent and the Hughes conjecture for 2-generator $p$-groups
Sbornik. Mathematics, Tome 46 (1983) no. 4, pp. 571-579 Cet article a éte moissonné depuis la source Math-Net.Ru

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@article{SM_1983_46_4_a8,
     author = {E. I. Khukhro},
     title = {On~the associated {Lie} ring of a free 2-generator group of prime exponent and the {Hughes} conjecture for 2-generator $p$-groups},
     journal = {Sbornik. Mathematics},
     pages = {571--579},
     year = {1983},
     volume = {46},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1983_46_4_a8/}
}
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E. I. Khukhro. On the associated Lie ring of a free 2-generator group of prime exponent and the Hughes conjecture for 2-generator $p$-groups. Sbornik. Mathematics, Tome 46 (1983) no. 4, pp. 571-579. http://geodesic.mathdoc.fr/item/SM_1983_46_4_a8/

[1] Sanov I. N., “Ustanovlenie svyazi mezhdu periodicheskimi gruppami s periodom prostym chislom i koltsami Li”, Izv. AN SSSR, ser. matem., 16 (1952), 23–58 | MR | Zbl

[2] Kostrikin A. I., “O svyazi mezhdu periodicheskimi gruppami i koltsami Li”, Izv. AN SSSR, ser. matem., 21 (1957), 289–310 | MR

[3] Kostrikin A. I., “O probleme Bernsaida”, Izv. AN SSSR, ser. matem., 23 (1959), 3–34 | MR

[4] Havas G., Wall G. E., Wamsley J. W., “The two generator restricted Brunside group of exponent five”, Bull. Austral. Math. Soc., 10 (1974), 459–470 | DOI | MR | Zbl

[5] Wall G. E., On the Lie ring of a group of prime exponent (Proc. Second Intern. Conf. on the Theory of Groups), Lecture Notes Math. No 372, Springer-Verlag, Berlin, 1974 | MR

[6] Cannon J. J., “Some combinatorial and symbol manipulation programs in group theory”, Computational problems in abstract algebra. Oxford, Pergamon, New York, 1967, 199–203 | MR

[7] Khukhro E. I., “O svyazi mezhdu gipotezoi Khyuza i sootnosheniyami v gruppakh prostogo perioda”, Tezisy 7-go Vsesoyuzn. simp. po teorii grupp, Krasnoyarsk, 1980, 132

[8] Wall G. E., On Hughes' $H_p$-problem (Proc. Intern. Conf. Theory of Groups, Canberra), Gordon and Breach, New York, 1965 | MR

[9] Macdonald I. D., “The Hughes problem and others”, J. Austral. Math. Soc., 10 (1969), 475–479 | DOI | MR | Zbl

[10] Hobby C. R., “Nearly regular $p$-groups”, Canad. J. Math., 19 (1967), 520–522 | MR | Zbl

[11] Kappe W. P., “Properties of groups related to the second centre”, Math. Z., 101 (1967), 356–358 | DOI | MR

[12] Shirshov A. I., “O svobodnykh koltsakh Li”, Matem. sb., 45 (87) (1958), 113–122 | MR | Zbl

[13] Vychisleniya v algebre i teorii chisel, Mir, M., 1976 | MR

[14] Velbitskii I. V., Khodakovskii V. N., Sholmov L. I., Tekhnologicheskii kompleks proizvodstva programm na mashinakh ES EVM i BESM-6, Statistika, M., 1980 | MR