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Title: On Generalizations of Anabelian Group-theoretic Properties
Authors: MINAMIDE, Arata
SAWADA, Koichiro
Keywords: 14H30
subnormal subgroup
profinite group
internal indecomposability
absolute Galois group
surface group
Issue Date: Aug-2022
Publisher: Research Institute for Mathematical Sciences, Kyoto University
Start page: 1
End page: 24
Thesis number: RIMS-1965
Abstract: In the present paper, we discuss certain generalizations on two anabelian group-theoretic properties --strong internal indecomposability and elasticity. More concretely, by replacing the normality conditions appearing in characterizations of strong internal indecomposability and elasticity by the subnormality conditions, we introduce the notions of strong sn-internal indecomposability and sn-elasticity and prove that various profinite groups appearing in anabelian geometry satisfy these properties.
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Appears in Collections:Research Institute for Mathematical Sciences, preprints

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