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International Journal of Group Theory
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Ahmadi, M., Ghoraishi, S. (2017). Finite $2$-groups of class $2$ with a specific automorphism group. International Journal of Group Theory, 6(3), 1-4. doi: 10.22108/ijgt.2017.20362
Marzieh Ahmadi; S. Mohsen Ghoraishi. "Finite $2$-groups of class $2$ with a specific automorphism group". International Journal of Group Theory, 6, 3, 2017, 1-4. doi: 10.22108/ijgt.2017.20362
Ahmadi, M., Ghoraishi, S. (2017). 'Finite $2$-groups of class $2$ with a specific automorphism group', International Journal of Group Theory, 6(3), pp. 1-4. doi: 10.22108/ijgt.2017.20362
Ahmadi, M., Ghoraishi, S. Finite $2$-groups of class $2$ with a specific automorphism group. International Journal of Group Theory, 2017; 6(3): 1-4. doi: 10.22108/ijgt.2017.20362

Finite $2$-groups of class $2$ with a specific automorphism group

Article 1, Volume 6, Issue 3, September 2017, Page 1-4  XML PDF (172 K)
Document Type: Research Paper
DOI: 10.22108/ijgt.2017.20362
Authors
Marzieh Ahmadi1; S. Mohsen Ghoraishi 2
1University of Isfahan
2Shahid Chamran university of Ahvaz
Abstract
‎‎In this paper we determine all finite $2$-groups of‎ ‎class $2$ in which every automorphism of order $2$ leaving the Frattini subgroup elementwise fixed is inner‎.
Keywords
‎‎Finite $p$-group of class $2$‎; ‎non-inner automorphism‎; ‎Frattini subgroup
Main Subjects
20D15 Nilpotent groups, p-groups; 20D45 Automorphisms
References
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[9] S. M. Ghoraishi, On noninner automorphisms of nite nonab elian p -groups, Bul l. Aust. Math. Soc., 89 (2014) 202{209.

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[11] H. Lieb eck, Outer automorphisms in nilp otent p -groups of class 2, J. London Math. Soc., 40 (1965) 268-275.

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