Applications of p-deficiency and p-largeness

Button, J. O. and Thillaisundaram, A. (2011) Applications of p-deficiency and p-largeness. International Journal of Algebra and Computation, 21 (4). pp. 547-574. ISSN 0218-1967

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Item Type:Article
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We use Schlage-Puchta's concept of p-deficiency and Lackenby's property of p-largeness to show that a group having a finite presentation with p-deficiency greater than 1 is large, which implies that Schlage-Puchta's infinite finitely generated p-groups are not finitely presented. We also show that for all primes p at least 7, any group having a presentation of p-deficiency greater than 1 is GolodShafarevich, and has a finite index subgroup which is GolodShafarevich for the remaining primes. We also generalize a result of Grigorchuk on Coxeter groups to odd primes. © 2011 World Scientific Publishing Company.

Keywords:Group, Ffinitely generated, Large, Torsion, Finitely presented
Subjects:G Mathematical and Computer Sciences > G100 Mathematics
Divisions:College of Science > School of Mathematics and Physics
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ID Code:25192
Deposited On:08 Jan 2017 15:39

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