Torsion elements of order 𝑝2 in the Nottingham group
| Autor: | Krishna Kishore, Chun Yin Hui |
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| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | Journal of Group Theory. 23:489-502 |
| ISSN: | 1435-4446 1433-5883 |
| Popis: | Let κ be a characteristic p finite field of q elements and 𝔑 κ {\mathfrak{N}_{\kappa}} the Nottingham group over κ. Lubin associated to every conjugacy class of torsion element of 𝔑 κ {\mathfrak{N}_{\kappa}} a type. We establish an upper bound B ( q ; l , m ) {B(q;l,m)} on the number of conjugacy classes of order p 2 {p^{2}} torsion elements u of 𝔑 κ {\mathfrak{N}_{\kappa}} of type 〈 l , m 〉 {\langle l,m\rangle} . In the case where l < p {l , the bound B ( q ; l , m ) {B(q;l,m)} is the exact number of conjugacy classes. Moreover, we give a criterion on when u and u n {u^{n}} are conjugate. |
| Databáze: | OpenAIRE |
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