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On the linearity of HNN-extensions with abelian base

✍ Scribed by V. Metaftsis; E. Raptis; D. Varsos

Book ID
113740288
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
225 KB
Volume
216
Category
Article
ISSN
0022-4049

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πŸ“œ SIMILAR VOLUMES

Subgroup Separability of HNN-Extensions
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✍ V Metaftsis; E Raptis πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 83 KB

In the present paper we give a complete characterisation of subgroup separability of HNN-extensions with finitely generated abelian base group. We are also able to characterise subgroup separability for some families of free-by-cyclic groups and thus answer partially a question of Scott (1987, "Comb

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✍ Christian Maire πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 219 KB

For a prime number a, we consider a-extensions k S of number fields k unramified outside a finite set S … S a of places of k, and we study the Z a -rank of the abelian part of k S /k and the number of relations of the Galois group G S :=Gal(k S /k).