Geodesic
The structure of groups possessing Carter subgroups of odd order
Algebra i logika, Tome 54 (2015) no. 2, pp. 158-162.

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Let a group $G$ contain a Carter subgroup of odd order. It is shown that every composition factor of $G$ either is Abelian or is isomorphic to $L_2(3^{2n+1})$, $n\ge1$. Moreover, if $3$ does not divide the order of a Carter subgroup, then $G$ solvable.
Mots-clés : group, solvable group.
Keywords: Carter subgroup of odd order, composition factor of group 
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E. P. Vdovin. The structure of groups possessing Carter subgroups of odd order. Algebra i logika, Tome 54 (2015) no. 2, pp. 158-162. http://geodesic.mathdoc.fr/item/AL_2015_54_2_a1/

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