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math.GR2025
Kurosh Subgroup Theorem in Free Pro-p Products
Tamar Bar-On
We provide a sufficient condition under which a closed subgroup of a restricted free pro-p product is itself a free pro-p product.
math.GR2025
Jordan-Holder Theorem for profinite groups and applications
Tamar Bar-On, Nikolay Nikolov
We generalize the notions of composition series and composition factors for profinite groups, and prove a profinite version of the Jordan-Holder Theorem. We apply this to prove a G…