Geodesic
On a~problem of Hall and Higman
Izvestiya. Mathematics , Tome 13 (1979) no. 1, pp. 133-146.

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{IM2_1979_13_1_a7,
     author = {Yu. P. Razmyslov},
     title = {On a~problem of {Hall} and {Higman}},
     journal = {Izvestiya. Mathematics },
     pages = {133--146},
     publisher = {mathdoc},
     volume = {13},
     number = {1},
     year = {1979},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1979_13_1_a7/}
}
TY  - JOUR
AU  - Yu. P. Razmyslov
TI  - On a~problem of Hall and Higman
JO  - Izvestiya. Mathematics 
PY  - 1979
SP  - 133
EP  - 146
VL  - 13
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1979_13_1_a7/
LA  - en
ID  - IM2_1979_13_1_a7
ER  - 
%0 Journal Article
%A Yu. P. Razmyslov
%T On a~problem of Hall and Higman
%J Izvestiya. Mathematics 
%D 1979
%P 133-146
%V 13
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1979_13_1_a7/
%G en
%F IM2_1979_13_1_a7
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