منابع مشابه
Intersection problem for Droms RAAGs
We solve the subgroup intersection problem (SIP) for any RAAG G of Droms type (i.e., with defining graph not containing induced squares or paths of length 3): there is an algorithm which, given finite sets of generators for two subgroups H,K 6 G, decides whether H ∩ K is finitely generated or not, and, in the affirmative case, it computes a set of generators for H ∩ K. Taking advantage of the r...
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Let [s]” denote all sequences a’ = (a,, . . , a,) of integers with 1 <xi 2 S. Consider a subset A of [s]“. It is called (t,, . . , &)-intersecting if for any two members ci, b E A and any 1 s i < s there are at least r, positions j, where both a’ and b have entry i, that is, a, = b, = i. The problem of determining max IAl for A being (t,, . . . , t,)-intersecting is considered. In particular, t...
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For all integers m, nand t, we determine necessary and sufficient conditions for the existence of (1) a pair of 3-cube decompositions of Kn having precisely t common 3-cubes; and (2) a pair of 3-cube decompositions of Km,n having precisely t common 3-cubes.
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We prove that every RAAG (Right Angled Artin Group) embeds in the group of Hamiltonian symplectomorphisms of every symplectic manifold.
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The stabilization of Hi(Aut(G);Z) for i large has been shown to hold for most groups by the main theorem of [3] and [9, Corollary 1.3].1 The stabilization of Hi(Aut(G);Z) in contrast has so far only been known in two extreme cases: when G is abelian and when G has trivial center and does not factorize as a direct product. Indeed, in the first case Aut(Gn) is isomorphic to GLn(End(G)), which is ...
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ژورنال
عنوان ژورنال: International Journal of Algebra and Computation
سال: 2018
ISSN: 0218-1967,1793-6500
DOI: 10.1142/s0218196718500509