Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stabiliser of an Attractive Fixed Point of an IWIP Automorphism of a
  free product   For a group $G$ of finite Kurosh rank and for some arbiratily free product
decomposition of $G$, $G = H_1 \ast H_2 \ast ... \ast H_r \ast F_q$, where
$F_q$ is a finitely generated free group, we can associate some (relative)
outer space $\mathcal{O}(G, \{H_1,..., H_r \})$. We define the relative
boundary $\partial (G, \{ H_1, ..., H_r \}) = \partial(G, \mathcal{O}) $
corresponding to the free product decomposition, as the set of infinite reduced
words (with respect to free product length). By denoting $Out(G, \{ H_1, ...,
H_r \})$ the subgroup of $Out(G)$ which is consisted of the outer automorphisms
which preserve the set of conjugacy classes of $H_i$'s, we prove that for the
stabiliser $Stab(X)$ of an attractive fixed point in $X \in \partial (G, \{
H_1, ..., H_r \})$ of an irreducible with irreducible powers automorphism
relative to $\mathcal{O}$, it holds that it has a (normal) subgroup $B$
isomorphic to subgroup of $\bigoplus \limits_{i=1} ^{r} Out(H_i)$ such that
$Stab(X) / B$ is isomorphic to $\mathbb{Z}$. The proof relies heavily on the
machinery of the attractive lamination of an IWIP automorphism relative to
$\mathcal{O}$.

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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: stat
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The categories of this paper are: nucl-ex
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The categories of this paper are: cs
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The categories of this paper are: quant-ph