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Ahmadi, Marzieh, Ghoraishi, S. Mohsen. (1396). Finite $2$-groups of class $2$ with a specific automorphism group. , 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". , 6, 3, 1396, 1-4. doi: 10.22108/ijgt.2017.20362
Ahmadi, Marzieh, Ghoraishi, S. Mohsen. (1396). 'Finite $2$-groups of class $2$ with a specific automorphism group', , 6(3), pp. 1-4. doi: 10.22108/ijgt.2017.20362
Ahmadi, Marzieh, Ghoraishi, S. Mohsen. Finite $2$-groups of class $2$ with a specific automorphism group. , 1396; 6(3): 1-4. doi: 10.22108/ijgt.2017.20362

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

International Journal of Group Theory
مقاله 1، دوره 6، شماره 3، آذر 2017، صفحه 1-4    اصل مقاله (171.55 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22108/ijgt.2017.20362
نویسندگان
Marzieh Ahmadi1؛ S. Mohsen Ghoraishi* 2
1University of Isfahan
2Shahid Chamran university of Ahvaz
چکیده
‎‎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.
کلیدواژه‌ها
‎‎Finite $p$-group of class $2$‎؛ ‎non-inner automorphism‎؛ ‎Frattini subgroup
مراجع
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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.

[10] Y. K. Leong, Finite 2-groups of class two with cyclic centre, J. Austral. Math. Soc. (Ser. A), 27 (1979) 125{140.

[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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