Abstract
We generalize a theorem of R. Thomas, which sometimes allows one
to tell by
inspection that a finitely presented group G is infinite. Groups
to which his theorem
applies have presentations with not too many more relators than generators,
with
at least some of the relators being proper powers. Our generalization provides
lower
bounds for the ranks of the abelianizations of certain normal subgroups
of G in terms
of their indices. We derive Thomas's theorem as a special case.
Publisher
Cambridge University Press (CUP)
Cited by
5 articles.
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