Geodesic
On $p$-complements of finite groups
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 10 (2013), pp. 414-417

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A subgroup $H$ of a finite group $G$ is called a $p$-complement for a prime $p$, if the order of $H$ is not divided by $p$ and the index $|G:H|$ is a power of $p$. We give examples of a finite group that possesses two nonisomorphic $p$-complements and of a finite group in which all $p$-complements are isomorphic but not conjugate in the automorphism group.
Keywords: finite group
Mots-clés : $p$-complement. 
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     author = {A. A. Buturlakin and D. O. Revin},
     title = {On $p$-complements of finite groups},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {414--417},
     publisher = {mathdoc},
     volume = {10},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2013_10_a10/}
}
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A. A. Buturlakin; D. O. Revin. On $p$-complements of finite groups. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 10 (2013), pp. 414-417. http://geodesic.mathdoc.fr/item/SEMR_2013_10_a10/