Geodesic
On a problem of Hall and Higman
Izvestiya. Mathematics, Tome 13 (1979) no. 1, pp. 133-146 Cet article a éte moissonné depuis la source Math-Net.Ru

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Since I. N. Sanov proved the local finiteness of groups of exponent 4 in 1940, interest in such groups revived in the 1950's in connection with a question posed by G. Higman and M. Hall: Is the variety of groups of exponent 4 solvable? In recent years several attempts have been made to solve this problem in one aspect or another. In this paper a negative answer is given to the question of Higman and Hall. Bibliography: 8 titles. 
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Yu. P. Razmyslov. On a problem of Hall and Higman. Izvestiya. Mathematics, Tome 13 (1979) no. 1, pp. 133-146. http://geodesic.mathdoc.fr/item/IM2_1979_13_1_a7/

[1] Sanov I. N., “Reshenie problemy Bernsaida dlya pokazatelya 4”, Uch. zap. LGU. Ser. matem., 55:10 (1940), 166–170 | MR

[2] Mochizuki H. Y., “On groups of exponent four: criterion for nonsolvability”, Lect. Notes Math., 372, 1974, 499–503 | MR | Zbl

[3] Bachmuth S., Mochizuki H. Y., “A criterion for nonsolvability of exponent 4 group”, Comm. Pure Appl. Math., 26 (1973), 601–608 | DOI | MR | Zbl

[4] Gupta N. D., Quintana R. B., “On groups of exponent four. III”, Proc. Amer. Math. Soc., 33 (1972), 15–19 | DOI | MR | Zbl

[5] Gupta N. D., Newman M. F., “The nilpotent class of finitely generated groups of exponent four”, Lect. Notes Math., 372, 1974, 330–332 | MR | Zbl

[6] Tobin S., “On groups with exponent four”, Proc. Roy. Irish Acad. Sect. A, 75:12 (1975), 115–120 | MR | Zbl

[7] Razmyslov Yu. P., “Ob odnoi probleme Kaplanskogo”, Izv. AN SSSR. Ser. matem., 37 (1973), 483–501 | MR | Zbl

[8] Razmyslov Yu. P., “Ob engelevykh algebrakh Li”, Algebra i logika, 10:1 (1971), 33–44 | MR | Zbl