Wolfgang Bannuscher, Gunter Tiedt
On a theorem of Deaconescu
The paper is published: Rostocker Mathematische Kolloquium, Rostock. Math. Kolloq. 47, 23-26 (1994)
20D10 Solvable groups, theory of formations, Schunck classes, Fitting classes, $pi$-length, ranks, See also {20F17}
20D20 Sylow subgroups, Sylow properties, $pi$-groups,
Abstract: Consider finite groups having all nontrivial elements of prime order
as as subclass of CN-groups in which the centralizers of all nontrivial
Elements are nilpotent. Then we give in generalization of a Theorem of
Deaconescu necessary and sufficient conditions to be such group.