The $D_\pi$ property of finite groups in the case $2\notin\pi$
Trudy Instituta matematiki i mehaniki, Группы и графы, Tome 13 (2007) no. 1, pp. 166-182

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The characterization of finite simple groups with the $D_\pi$ propert for any set $\pi$ of odd prime numbers is completed. It was proved earlier that a finite group has the $D_\pi$ property if and only if each of its composition factors has this property, hence the results of the paper provide an exhaustive characterization of the $D_\pi$ property for all finite groups with known composition factors in the case $2\notin\pi$.
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     title = {The $D_\pi$ property of finite groups in the case $2\notin\pi$},
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D. O. Revin. The $D_\pi$ property of finite groups in the case $2\notin\pi$. Trudy Instituta matematiki i mehaniki, Группы и графы, Tome 13 (2007) no. 1, pp. 166-182. http://geodesic.mathdoc.fr/item/TIMM_2007_13_1_a12/