This article is cited in 10 papers

On a problem of Hall and Higman

Yu. P. Razmyslov


Abstract: 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.

UDC: 519.48

MSC: 20F50, 20E10

Received: 22.11.1977

 English version: Mathematics of the USSR-Izvestiya, 1979, 13:1, 133–146

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