Geodesic
On Groups Whose Small-Order Elements Generate a Small Subgroup
Matematičeskie zametki, Tome 92 (2012) no. 3, pp. 361-367

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It is proved that every finite group $G$ can be represented as the quotient group of some finite group $K$ such that all elements of “small” primary orders in $K$ generate an Abelian normal subgroup.
Keywords: finite group, primary order, Abelian group, cohomology of a group, Abelian $p$-group, exponent of a group.
Mots-clés : solvable group 
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     author = {V. P. Burichenko},
     title = {On {Groups} {Whose} {Small-Order} {Elements} {Generate} a {Small} {Subgroup}},
     journal = {Matemati\v{c}eskie zametki},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2012_92_3_a3/}
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V. P. Burichenko. On Groups Whose Small-Order Elements Generate a Small Subgroup. Matematičeskie zametki, Tome 92 (2012) no. 3, pp. 361-367. http://geodesic.mathdoc.fr/item/MZM_2012_92_3_a3/