Automorphisms of Regular Wreath Product 𝑝-Groups
We present a useful new characterization of the automorphisms of the regular wreath product group 𝑃 of a finite cyclic 𝑝-group by a finite cyclic 𝑝-group, for any prime 𝑝, and we discuss an application. We also present a short new proof, based on representation theory, for determining the order of t...
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2009/245617 |
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| author | Jeffrey M. Riedl |
| author_facet | Jeffrey M. Riedl |
| author_sort | Jeffrey M. Riedl |
| collection | DOAJ |
| description | We present a useful new characterization of the automorphisms of the regular wreath product group 𝑃 of a finite cyclic 𝑝-group by a finite cyclic 𝑝-group, for any prime 𝑝, and we discuss an application. We also present a short new proof, based on representation
theory, for determining the order of the automorphism group Aut(𝑃), where 𝑃 is the regular wreath product of a finite cyclic 𝑝-group by an arbitrary finite 𝑝-group. |
| format | Article |
| id | doaj-art-42d3ca8b4cfd4e1498d1e65a977151cf |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-42d3ca8b4cfd4e1498d1e65a977151cf2025-02-03T01:21:24ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252009-01-01200910.1155/2009/245617245617Automorphisms of Regular Wreath Product 𝑝-GroupsJeffrey M. Riedl0Department of Theoretical and Applied Mathematics, University of Akron, Akron, OH 44325-4002, USAWe present a useful new characterization of the automorphisms of the regular wreath product group 𝑃 of a finite cyclic 𝑝-group by a finite cyclic 𝑝-group, for any prime 𝑝, and we discuss an application. We also present a short new proof, based on representation theory, for determining the order of the automorphism group Aut(𝑃), where 𝑃 is the regular wreath product of a finite cyclic 𝑝-group by an arbitrary finite 𝑝-group.http://dx.doi.org/10.1155/2009/245617 |
| spellingShingle | Jeffrey M. Riedl Automorphisms of Regular Wreath Product 𝑝-Groups International Journal of Mathematics and Mathematical Sciences |
| title | Automorphisms of Regular Wreath Product 𝑝-Groups |
| title_full | Automorphisms of Regular Wreath Product 𝑝-Groups |
| title_fullStr | Automorphisms of Regular Wreath Product 𝑝-Groups |
| title_full_unstemmed | Automorphisms of Regular Wreath Product 𝑝-Groups |
| title_short | Automorphisms of Regular Wreath Product 𝑝-Groups |
| title_sort | automorphisms of regular wreath product 𝑝 groups |
| url | http://dx.doi.org/10.1155/2009/245617 |
| work_keys_str_mv | AT jeffreymriedl automorphismsofregularwreathproductpgroups |