The central heights of stability groups of series in vector spaces
| Autor: | B. A. F. Wehrfritz |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Pure mathematics
Series (mathematics) Stability group General Mathematics 010102 general mathematics Mathematical analysis Division (mathematics) Central series 01 natural sciences Linear subspace Nilpotent 0103 physical sciences Ordinal number 010307 mathematical physics 0101 mathematics Vector space Mathematics |
| Zdroj: | Czechoslovak Mathematical Journal. 66:213-222 |
| ISSN: | 1572-9141 0011-4642 |
| Popis: | We compute the central heights of the full stability groups S of ascending series and of descending series of subspaces in vector spaces over fields and division rings. The aim is to develop at least partial right analogues of results on left Engel elements and related nilpotent radicals in such S proved recently by Casolo & Puglisi, by Traustason and by the current author. Perhaps surprisingly, while there is an absolute bound on these central heights for descending series, for ascending series the central height can be any ordinal number. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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