Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Connectivity of Intersection Graphs of Finite Groups   The intersection graph of a group $G$ is an undirected graph without loops
and multiple edges defined as follows: the vertex set is the set of all proper
non-trivial subgroups of $G$, and there is an edge between two distinct
vertices $H$ and $K$ if and only if $H\cap K \neq 1$ where $1$ denotes the
trivial subgroup of $G$. In this paper, we classify finite solvable groups
whose intersection graphs are not $2$-connected and finite nilpotent groups
whose intersection graphs are not $3$-connected. Our methods are elementary.

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The categories of this paper are: eess
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: physics
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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn