Powers of elements of the series substitution group J(Z2)
| Autor: | S.I. Bogataya, Semeon Antonovich Bogatyi, D. D. Kiselev |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Series (mathematics)
Formal power series Group (mathematics) 010102 general mathematics Substitution (algebra) Field (mathematics) Nottingham group 01 natural sciences Combinatorics 0103 physical sciences Prime characteristic 010307 mathematical physics Geometry and Topology 0101 mathematics Mathematics |
| Zdroj: | Topology and its Applications. 201:29-56 |
| ISSN: | 0166-8641 |
| DOI: | 10.1016/j.topol.2015.12.025 |
| Popis: | For the Jennings group J ( k ) of substitutions of formal power series with coefficients in a field k of positive characteristic (the Nottingham group), the depth of the powers of its elements is studied. In particular, it is shown that the case of a field with characteristic 2 is completely different from the case of a field with odd prime characteristic. It is also shown that the case of the field k = Z 2 differs from the case of other fields with characteristic 2. Explicit embeddings of the groups Z p m and Z p ⊕ Z p in J ( Z p ) are constructed. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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