| Title: | The powerful class of groups |
|---|
| Authors: | ID Moravec, Primož (Author) |
|---|
| Files: |  PDF - Presentation file, download (216,45 KB)
MD5: D8EB1EA8D3D42F0BF8E724B33FC46B73
 URL - Source URL, visit https://onlinelibrary.wiley.com/doi/10.1002/mana.202300141
|
|---|
| Language: | English |
|---|
| Typology: | 1.01 - Original Scientific Article |
|---|
| Organization: |  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  |
|---|
| UDC: | 512 |
|---|
| ISSN on article: | 0025-584X |
|---|
| DOI: | 10.1002/mana.202300141 |
|---|
| COBISS.SI-ID: | 200337155 |
|---|
| Note: |
|
|---|
| Publication date in DiRROS: | 02.07.2024 |
|---|
| Views: | 781 |
|---|
| Downloads: | 431 |
|---|
| Metadata: |    |
|---|
|
:
|
Copy citation |
|---|
| | | | Share: |  |
|---|
Hover the mouse pointer over a document title to show the abstract or click
on the title to get all document metadata. |
