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Every Finitely Generated Fischer Group is Finite
Proceedings of the American Mathematical Society
By a simple combinatorial argument, and using a result of Brück, the Burnside problem is settled affirmatively for the class of Fischer 3-groups. 0. Introduction. In a recent book on cubic forms by Yu. I. Manin  the Burnside problem for the class of Fischer 3-groups was posed (cf. p. 39 of ). In this note we give a simple combinatorial argument leading to an affirmative settlement of this problem. A result of H. R. Brück  that every finitely generated commutative Moufang loop of perioddoi:10.2307/2039513 fatcat:d2jagorfbrgwbo3zm4dlqkmifa