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http://hdl.handle.net/123456789/5165
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DC Field | Value | Language |
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dc.contributor.author | Kulshrestha, Amit | - |
dc.contributor.author | Kundu, Rijubrata | - |
dc.contributor.author | Singh, Anupam | - |
dc.date.accessioned | 2023-08-24T10:29:46Z | - |
dc.date.available | 2023-08-24T10:29:46Z | - |
dc.date.issued | 2021 | - |
dc.identifier.citation | Journal of Group Theory,000010151520200206. | en_US |
dc.identifier.uri | https://doi.org/10.1515/jgth-2020-0206 | - |
dc.identifier.uri | http://hdl.handle.net/123456789/5165 | - |
dc.description | Only IISER Mohali authors are available in the record. | en_US |
dc.description.abstract | Let 𝐺 be a connected reductive group defined over F q . Fix an integer M ≥ 2 , and consider the power map x ↦ x M on 𝐺. We denote the image of G ( F q ) under this map by G ( F q ) M and estimate what proportion of regular semisimple, semisimple and regular elements of G ( F q ) it contains. We prove that, as q → ∞ , the set of limits for each of these proportions is the same and provide a formula. This generalizes the well-known results for M = 1 where all the limits take the same value 1. We also compute this more explicitly for the groups GL ( n , q ) and U ( n , q ) and show that the set of limits are the same for these two group, in fact, in bijection under q ↦ − q for a fixed 𝑀. | en_US |
dc.language.iso | en_US | en_US |
dc.publisher | DEG | en_US |
dc.subject | Asymptotics | en_US |
dc.subject | powers | en_US |
dc.subject | finite | en_US |
dc.subject | reductive | en_US |
dc.title | Asymptotics of the powers in finite reductive groups | en_US |
dc.type | Article | en_US |
Appears in Collections: | Research Articles |
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Need To Add…Full Text_PDF. | Only IISER Mohali authors are available in the record. | 15.36 kB | Unknown | View/Open |
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