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Title:The powerful class of groups
Authors:ID Moravec, Primož (Author)
Files:.pdf PDF - Presentation file, download (216,45 KB)
MD5: D8EB1EA8D3D42F0BF8E724B33FC46B73
 
URL URL - Source URL, visit https://onlinelibrary.wiley.com/doi/10.1002/mana.202300141
 
Language:English
Typology:1.01 - Original Scientific Article
Organization:Logo IMFM - Institute of Mathematics, Physics, and Mechanics
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.
Keywords:finite p-groups, powerful class, pro-p groups
Publication status:Published
Publication version:Version of Record
Publication date:01.04.2024
Year of publishing:2024
Number of pages:str. 1221-1229
Numbering:Vol. 297, iss. 4
PID:20.500.12556/DiRROS-19147 New window
UDC:512
ISSN on article:0025-584X
DOI:10.1002/mana.202300141 New window
COBISS.SI-ID:200337155 New window
Note:
Publication date in DiRROS:02.07.2024
Views:440
Downloads:213
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MORAVEC, Primož, 2024, The powerful class of groups. Mathematische Nachrichten [online]. 2024. Vol. 297, no. 4, p. 1221–1229. [Accessed 7 April 2025]. DOI 10.1002/mana.202300141. Retrieved from: https://dirros.openscience.si/IzpisGradiva.php?lang=eng&id=19147
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Record is a part of a journal

Title:Mathematische Nachrichten
Shortened title:Math. Nachr.
Publisher:Wiley
ISSN:0025-584X
COBISS.SI-ID:25915392 New window

Document is financed by a project

Funder:ARRS - Slovenian Research Agency
Project number:P1-0222
Name:Algebra, teorija operatorjev in finančna matematika
Funder:ARRS - Slovenian Research Agency
Project number:J1-3004
Name:Hkratna podobnost matrik
Funder:ARRS - Slovenian Research Agency
Project number:N1-0217
Name:Nekomutativna realna algebraična geometrija s sledjo
Funder:ARRS - Slovenian Research Agency
Project number:J1-2453
Name:Matrično konveksne množice in realna algebraična geometrija
Funder:ARRS - Slovenian Research Agency
Project number:J1-1691
Name:Weissova domneva in posplošitve

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License:CC BY 4.0, Creative Commons Attribution 4.0 International
Link:http://creativecommons.org/licenses/by/4.0/
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

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