UV_n(c) contains a finite-index right-angled Artin subgroup and has S_n as its smallest non-abelian finite quotient for n≥5, with LERF and Howson properties holding only for n≤3.
Bieri,Homological dimension of discrete groups, 2nd ed., Queen Mary College Mathe- matics Notes, Queen Mary College, London
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Universal virtual braid groups
UV_n(c) contains a finite-index right-angled Artin subgroup and has S_n as its smallest non-abelian finite quotient for n≥5, with LERF and Howson properties holding only for n≤3.