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 |
Published: |
Kharazmi University
2021-12-01
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Series: | پژوهشهای ریاضی |
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Online Access: | http://mmr.khu.ac.ir/article-1-3023-en.html |
Summary: | 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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ISSN: | 2588-2546 2588-2554 |