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pro vyhledávání: '"Howie, James"'
Autor:
Howie, James
A conjecture of Rosenberger says that a group of the form $\langle x,y|x^p=y^q=W(x,y)^r=1\rangle$ (with $r>1$) is either virtually solvable or contains a non-abelian free subgroup. This note is an account of an attack on the conjecture in the case $(
Externí odkaz:
http://arxiv.org/abs/2405.13644
Autor:
Howie, James, Short, Hamish
We generalise a result of D. J. Collins on intersections of conjugates of Magnus subgroups of one-relator groups to the context of one-relator products of locally indicable groups.
Comment: 28 pages, 3 figures
Comment: 28 pages, 3 figures
Externí odkaz:
http://arxiv.org/abs/2307.15397
Autor:
Edjvet, Martin, Howie, James
We prove a Freiheitssatz for one-relator products of torsion-free groups, where the relator has syllable length at most 8. This result has applications to equations over torsion-free groups: in particular a singular equation of syllable length at mos
Externí odkaz:
http://arxiv.org/abs/2001.07634
Autor:
Howie, James, Short, Hamish
We extend several results of Helfer, Wise, Louder and Wilton related to coherence in one-relator groups to the more general setting of one-relator products of locally indicable groups. The methods developed to do so also give rise to a new proof of a
Externí odkaz:
http://arxiv.org/abs/2001.01627
Autor:
Howie, James, Williams, Gerald
A fundamental theorem in the study of Dunwoody manifolds is a classification of finite graphs on $2n$ vertices that satisfy seven conditions (concerning planarity, regularity, and a cyclic automorphism of order $n$). Its significance is that if the p
Externí odkaz:
http://arxiv.org/abs/1905.13588
Autor:
Howie, James, Konovalov, Olexandr
A conjecture of Roseberger asserts that every generalised triangle group either is virtually soluble or contains a non-abelian free subgroup. Modulo two exceptional cases, we verify this conjecture for generalised triangle groups of type (2,3,2) whic
Externí odkaz:
http://arxiv.org/abs/1612.00242
Autor:
Howie, James Edward
Greenhouse gases in the Earth’s atmosphere play an important role in regulating surface temperatures. The UK is signatory to international agreements that legally commit the UK to reduce its greenhouse gas emissions, and there is a scientific and p
Externí odkaz:
http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.630410
Autor:
Howie, James, Williams, Gerald
We study the cyclic presentations with relators of the form $x_ix_{i+m}x_{i+k}^{-1}$ and the groups they define. These "groups of Fibonacci type" were introduced by Johnson and Mawdesley and they generalize the Fibonacci groups $F(2,n)$ and the Siera
Externí odkaz:
http://arxiv.org/abs/1605.06412
Autor:
Chinyere, Ihechukwu, Howie, James
In this paper we study a group G which is the quotient of a free product of three non-trivial groups by the normal closure of a single element. In particular we show that if the relator has length at most eight, then G is non-trivial. In the case whe
Externí odkaz:
http://arxiv.org/abs/1509.02717
Autor:
Chinyere, Ihechukwu, Howie, James
In this paper we study a group G which is the quotient of a free product of groups by the normal closure of a word that is contained in a in a subgroup which has the form of a generalised triangle group. We use known properties of generalised triangl
Externí odkaz:
http://arxiv.org/abs/1505.06094