On the Abelianizations of congruence subgroups of \(\Aut(F_2)\).

DOI10.1007/s00013-012-0415-xzbMath1256.20035arXiv0910.0090OpenAlexW2072648690MaRDI QIDQ453168

Daniel Appel

Publication date: 18 September 2012

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.0090

zbMATH Keywords

automorphism groupsfree groupscongruence subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28) Free nonabelian groups (20E05)

Cites Work

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• The congruence subgroup property for \(\Aut F_2\): a group-theoretic proof of Asada's theorem.
• Linear representations of the automorphism group of a free group.
• On the index of congruence subgroups of \(\Aut(F_n)\).
• The abelianization of the congruence IA-automorphism group of a free group
• The abelianization of the congruence IA-automorphism group of a free group