Ein allgemeiner Sylowsatz in endlichen auflösbaren Gruppen.
In this short note a correct proof of Theorem 3.3 from [Tărnăuceanu M., Solitary quotients of finite groups, Cent. Eur. J. Math., 2012, 10(2), 740–747] is given.
In this paper it is proved that a finite group G with an automorphism of prime order r, such that is contained in a nilpotent subgroup H, with , is nilpotent provided that either is odd or, if is even, then r is not a Fermât prime.
We describe finite groups which contain just one conjugate class of self-normalizing subgroups.
Given a class of finite groups and a finite group , the authors study the subgroup intersection of maximal subgroups that do not belong to .