A Cohomological Criterion for a Finitely Presented Group to Be Infinite

نویسنده

  • D. F. HOLT
چکیده

The problem of proving that a given finitely presented group G is infinite can be very difficult (or impossible) in general, but there are several possible approaches that can be tried, some of which can be rendered much more effective with the assistance of computers. To this list, we add another one, which can be applied if an epimorphism of G onto a finite group H is known. The idea depends on the following criterion.

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تاریخ انتشار 1992