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pro vyhledávání: '"FONIQI, ISLAM"'
Autor:
Foniqi, Islam
We characterise twisted right-angled Artin groups that are subgroup separable using only their defining mixed graphs; we deduce that the group is subgroup separable if and only if the underlying simplicial graph of the mixed graph does not contain pa
Externí odkaz:
http://arxiv.org/abs/2410.06914
Autor:
Foniqi, Islam
We demonstrate that the submonoid membership problem and the rational subset membership problem are equivalent in Artin groups. Both these problem are undecidable in a given Artin group if and only if the group embeds the right-angled Artin groups of
Externí odkaz:
http://arxiv.org/abs/2409.17375
We generalize the retractions to standard parabolic subgroups for even Artin groups to FC-type Artin groups and other more general families. We prove that these retractions uniquely extend to any parabolic subgroup. We use retractions to generalize t
Externí odkaz:
http://arxiv.org/abs/2408.12291
Autor:
Foniqi, Islam
We present a complete rewriting system for twisted right-angled Artin groups. Utilizing the normal form coming from the rewriting system, we provide applications that illustrate differences and similarities with right-angled Artin groups, both at the
Externí odkaz:
http://arxiv.org/abs/2407.06933
Autor:
Antolín, Yago, Foniqi, Islam
We prove a Tits alternative theorem for subgroups of finitely generated even Artin groups of FC type (EAFC groups), stating that there exists a finite index subgroup such that every subgroup of it is either finitely generated abelian, or maps onto a
Externí odkaz:
http://arxiv.org/abs/2305.17292
Motivated by approaches to the word problem for one-relation monoids arising from work of Adian and Oganesian (1987), Guba (1997), and Ivanov, Margolis and Meakin (2001), we study the submonoid and rational subset membership problems in one-relation
Externí odkaz:
http://arxiv.org/abs/2305.15672
Autor:
Antolín, Yago, Foniqi, Islam
We show that the intersection of parabolic subgroups of an even finitely generated FC-type Artin group is again a parabolic subgroup.
Externí odkaz:
http://arxiv.org/abs/2204.14080
Autor:
Antolín, Yago, Foniqi, Islam
We give explicit formulas for the geodesic growth series of a Right Angled Coxeter Group (RACG) based on a link-regular graph that is 4-clique free, i.e. without tetrahedrons
Comment: v2 improved exposition
Comment: v2 improved exposition
Externí odkaz:
http://arxiv.org/abs/2105.09751
Akademický článek
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Autor:
Antolín Pichel, Yago, Foniqi, Islam
We prove a Tits alternative theorem for subgroups of finitely generated even Artin groups of FC type (EAFC groups), stating that there exists a finite index subgroup such that every subgroup of it is either finitely generated abelian, or maps onto a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1137dafebb9c816657ab113881a0833f