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14.58 (1999)

Partially Solved

Suppose that $A$ is a periodic group of regular automorphisms of an abelian group.
$\qquad$ a) Is $A$ cyclic if $A$ has prime exponent?
$\qquad$ b) Is $A$ finite if $A$ is generated by elements of order 3?

Contributor: V. D. Mazurov

Progress

b) Yes, it is (A. Kh. Zhurtov, Siberian Math. J., 41, no. 2 (2000), 268–275).

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