Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Endotrivial modules for cyclic $p$-groups and generalized quaternion
  groups via Galois descent   In this paper, we investigate the group of endotrivial modules for certain
$p$-groups. Such groups were already been computed by Carlson-Th\'evenaz using
the theory of support varieties; however, we provide novel homotopical proofs
of their results for cyclic $p$-groups, the quaternion group of order 8, and
for generalized quaternion groups using Galois descent and Picard spectral
sequences, building on results of Mathew and Stojanoska. Our computations
provide conceptual insights into the classical work of Carlson-Th\'evenaz.

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The categories of this paper are: nucl-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga