Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The 2-Transitive Transplantable Isospectral Drums   For Riemannian manifolds there are several examples which are isospectral but
not isometric, see e.g. J. Milnor [Proc. Nat. Acad. Sci. USA 51 (1964), 542];
in the present paper, we investigate pairs of domains in ${\mathbb R}^2$ which
are isospectral but not congruent. All known such counter examples to M. Kac's
famous question can be constructed by a certain tiling method
("transplantability") using special linear operator groups which act
2-transitively on certain associated modules. In this paper we prove that if
any operator group acts 2-transitively on the associated module, no new counter
examples can occur. In fact, the main result is a corollary of a result on
Schreier coset graphs of 2-transitive groups.

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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: econ
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The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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The categories of this paper are: cond-mat