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- Title
The Wreath Product of Powerful p -Groups.
- Authors
Alharbi, Bashayer S.; Alghamdi, Ahmad M.
- Abstract
This study provides a scholarly examination of fundamental concepts within the field of group theory, specifically focusing on topics such as the wreath product and powerful p-groups. We examine the characteristics pertaining to the structure of the wreath product of cyclic p-groups, with a specific focus on the groups that are powerfully embedded within it. The primary discovery pertains to the construction of the powerful wreath product and the quasi-powerful wreath product. In this study, we establish that subgroups are powerful within the wreath product, specifically focusing on p-groups. The aforementioned outcome is derived from the assumption that p is a prime number and W is the standard wreath product of two nontrivial cyclic p-groups, denoted as G and H.
- Subjects
WREATHS; PRIME numbers; CYCLIC groups
- Publication
Symmetry (20738994), 2023, Vol 15, Issue 11, p1987
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym15111987