| Title: | The powerful class of groups |
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| Authors: | ID Moravec, Primož (Author) |
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| Files: |  PDF - Presentation file, download (216,45 KB)
MD5: D8EB1EA8D3D42F0BF8E724B33FC46B73
 URL - Source URL, visit https://onlinelibrary.wiley.com/doi/10.1002/mana.202300141
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| Language: | English |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: |  IMFM - Institute of Mathematics, Physics, and Mechanics
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| Abstract: | Pro-$p$ groups of finite powerful class are studied. We prove that these are $p$-adic analytic, and further describe their structure when their powerful class is small. It is also shown that there are only finitely many finite $p$-groups of fixed coclass and powerful class. |
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| Keywords: | finite p-groups, powerful class, pro-p groups |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 01.04.2024 |
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| Year of publishing: | 2024 |
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| Number of pages: | str. 1221-1229 |
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| Numbering: | Vol. 297, iss. 4 |
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| PID: | 20.500.12556/DiRROS-19147  |
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| UDC: | 512 |
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| ISSN on article: | 0025-584X |
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| DOI: | 10.1002/mana.202300141 |
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| COBISS.SI-ID: | 200337155 |
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| Note: |
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| Publication date in DiRROS: | 02.07.2024 |
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| Views: | 80 |
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| Downloads: | 55 |
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