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pro vyhledávání: '"Edjvet, Martin"'
We consider the cyclically presented groups defined by cyclic presentations with $2m$ generators $x_i$ whose relators are the $2m$ positive length three relators $x_ix_{i+1}x_{i+m-1}$. We show that they are hyperbolic if and only if $m\in \{1,2,3,6,9
Externí odkaz:
http://arxiv.org/abs/2408.09903
Publikováno v:
In Journal of Algebra 15 April 2024 644:796-834
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
Publikováno v:
Groups St Andrews 2017 in Birmingham (London Mathematical Society Lecture Note Series). Cambridge: Cambridge University Press (2019)
The concept of asphericity for relative group presentations was introduced twenty five years ago. Since then, the subject has advanced and detailed asphericity classifications have been obtained for various families of one-relator relative presentati
Externí odkaz:
http://arxiv.org/abs/1809.03460
Publikováno v:
Journal of Algebra and Its Applications, Vol 16 No 4, (2017)
We consider the relative group presentation $\mathcal{P} = \langle G, \mathbf{x} | \mathbf{r} \rangle$ where $\mathbf{x} = \{ x \}$ and $\mathbf{r} = \{ xg_1 xg_2 xg_3 x^{-1} g_4 \}$. We show modulo a small number of exceptional cases exactly when $\
Externí odkaz:
http://arxiv.org/abs/1604.00163
Autor:
Edjvet, Martin, Eljamel, Noha
Publikováno v:
In Journal of Algebra 15 October 2019 536:39-81
Autor:
Edjvet, Martin, Howie, James
Publikováno v:
J. Pure Appl. Algebra 212 (2008), 47--52
A Magnus subgroup of a one-relator group is the free subgroup freely generated by a proper subset of the generators. Two such subgroups can intersect in the obvious way or in a larger, exceptional way. The condition of non-exceptional intersection of
Externí odkaz:
http://arxiv.org/abs/math/0609147
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Autor:
Edjvet, Martin, Spanu, Bruno
Publikováno v:
In Journal of Algebra 2011 346(1):165-179
Autor:
Edjvet, Martin, Howie, James
Publikováno v:
Transactions of the American Mathematical Society, 1991 Jul 01. 326(1), 345-369.
Externí odkaz:
https://www.jstor.org/stable/2001867