Algebra, geometry, and topology of the substitution group of formal power series

DOI10.1070/RM2013v068n01ABEH004821zbMath1275.20024OpenAlexW2030485801MaRDI QIDQ4923019

Ivan K. Babenko

Publication date: 5 June 2013

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm2013v068n01abeh004821

zbMATH Keywords

inverse limitstopological groupsformal power seriesNottingham grouppro-\(p\)-groupsgroups of power series

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Other classes of groups defined by subgroup chains (20F22) Limits, profinite groups (20E18) Formal power series rings (13F25) Analysis on general topological groups (22A10) Research exposition (monographs, survey articles) pertaining to group theory (20-02)

Related Items (12)

Finite and infinite dimensional Lie group structures on Riordan groups ⋮ A survey on iterations in rings of formal power series in one indeterminate ⋮ Nilpotent Sabinin algebras ⋮ Left multiplication operators on the Riordan group ⋮ Commutators and commutator subgroups of the Riordan group ⋮ Characteristic curves and the exponentiation in the Riordan Lie group: a connection through examples ⋮ The loop of formal power series with noncommutative coefficients under substitution ⋮ Powers of elements of the series substitution group \(\mathcal J(\mathbb Z_2)\). ⋮ The group generated by Riordan involutions ⋮ Centralizers of the Riordan group ⋮ Artin-Hasse exponential mapping, algebraic groups in positive characteristic, and the Nottingham group. ⋮ Explicit embeddings of finite abelian \(p\)-groups in the group \(\mathcal J(\mathbb F_p)\).

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