Abstract
An example of a finitely presented amenable group not belonging to the class EG of elementary amenable groups is constructed. By this means, a solution of the Day problem in the class of finitely presented groups is given.
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R I Grigorchuk1
©, 1998 Russian Academy of Sciences, (DoM) and London Mathematical Society, Turpion Ltd
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Citation R I Grigorchuk 1998 Sb. Math. 189 75
DOI 10.1070/SM1998v189n01ABEH000293
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An example of a finitely presented amenable group not belonging to the class EG of elementary amenable groups is constructed. By this means, a solution of the Day problem in the class of finitely presented groups is given.