Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Properties of element orders in covers for L(n,q) and U(n,q)   We show that if a finite simple group G isomorphic to PSL(n,q) or PSU(n,q),
where either $n\ne 4$, or q is prime or even, acts on a vector space over a
field of the defining characteristic of G, then the corresponding semidirect
product contains an element whose order is distinct from every element order of
G. As a consequence, we prove that the group PSL(n,q), where $n\ne 4$ or q
prime or even, is recognizable by spectrum from its covers thus giving a
partial positive answer to Problem 14.60 from the Kourovka notebook.

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The categories of this paper are: cond-mat
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ex
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The categories of this paper are: physics
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The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol