CLASSIFICATION OF FINITE p-GROUPS WITH METACYCLIC AUTOMORPHISMS GROUP
In this paper we classify finite p-groups (p>2 ) with metacyclic automorphism group. Particularly we prove that the automorphism group of group G is metacyclic if and only if G is cyclic of order p^n.
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| Format: | Article |
| Language: | fas |
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Kharazmi University
2021-12-01
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| Series: | پژوهشهای ریاضی |
| Subjects: | |
| Online Access: | http://mmr.khu.ac.ir/article-1-3023-en.html |
| _version_ | 1797871658363518976 |
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| author | Shirin Fouladi |
| author_facet | Shirin Fouladi |
| author_sort | Shirin Fouladi |
| collection | DOAJ |
| description | In this paper we classify finite p-groups (p>2 ) with metacyclic automorphism group. Particularly we prove that the automorphism group of group G is metacyclic if and only if G is cyclic of order p^n. |
| first_indexed | 2024-04-10T00:47:19Z |
| format | Article |
| id | doaj.art-8024f2e9d3754cb3be282375c640e64a |
| institution | Directory Open Access Journal |
| issn | 2588-2546 2588-2554 |
| language | fas |
| last_indexed | 2024-04-10T00:47:19Z |
| publishDate | 2021-12-01 |
| publisher | Kharazmi University |
| record_format | Article |
| series | پژوهشهای ریاضی |
| spelling | doaj.art-8024f2e9d3754cb3be282375c640e64a2023-03-13T19:23:00ZfasKharazmi Universityپژوهشهای ریاضی2588-25462588-25542021-12-0173631638CLASSIFICATION OF FINITE p-GROUPS WITH METACYCLIC AUTOMORPHISMS GROUPShirin Fouladi0 Math Department In this paper we classify finite p-groups (p>2 ) with metacyclic automorphism group. Particularly we prove that the automorphism group of group G is metacyclic if and only if G is cyclic of order p^n.http://mmr.khu.ac.ir/article-1-3023-en.htmlautomorphism groupmetacyclic groupfinite p-group |
| spellingShingle | Shirin Fouladi CLASSIFICATION OF FINITE p-GROUPS WITH METACYCLIC AUTOMORPHISMS GROUP پژوهشهای ریاضی automorphism group metacyclic group finite p-group |
| title | CLASSIFICATION OF FINITE p-GROUPS WITH METACYCLIC AUTOMORPHISMS GROUP |
| title_full | CLASSIFICATION OF FINITE p-GROUPS WITH METACYCLIC AUTOMORPHISMS GROUP |
| title_fullStr | CLASSIFICATION OF FINITE p-GROUPS WITH METACYCLIC AUTOMORPHISMS GROUP |
| title_full_unstemmed | CLASSIFICATION OF FINITE p-GROUPS WITH METACYCLIC AUTOMORPHISMS GROUP |
| title_short | CLASSIFICATION OF FINITE p-GROUPS WITH METACYCLIC AUTOMORPHISMS GROUP |
| title_sort | classification of finite p groups with metacyclic automorphisms group |
| topic | automorphism group metacyclic group finite p-group |
| url | http://mmr.khu.ac.ir/article-1-3023-en.html |
| work_keys_str_mv | AT shirinfouladi classificationoffinitepgroupswithmetacyclicautomorphismsgroup |