Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Group Isomorphism with Fixed Subnormal Chains   In recent work, Rosenbaum and Wagner showed that isomorphism of explicitly
listed $p$-groups of order $n$ could be tested in $n^{\frac{1}{2}\log_p n +
O(p)}$ time, roughly a square root of the classical bound. The $O(p)$ term is
entirely due to an $n^{O(p)}$ cost of testing for isomorphisms that match fixed
composition series in the two groups. We focus here on the
fixed-composition-series subproblem and exhibit a polynomial-time algorithm
that is valid for general groups. A subsequent paper will construct canonical
forms within the same time bound.

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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: supr-con
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The categories of this paper are: physics
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: cond-mat