Ein Induktionssatz für rationale Charaktere von nilpotenten Gruppen.
Eine Verallgemeinerung des Regularitätsbegriffes bei p-Gruppen I
Endomorphism kernel property for finite groups
A group has the endomorphism kernel property (EKP) if every congruence relation on is the kernel of an endomorphism on . In this note we show that all finite abelian groups have EKP and we show infinite series of finite non-abelian groups which have EKP.
Equivalent conditions for p-nilpotence
In the first part of this paper we prove without using the transfer or characters the equivalence of some conditions, each of which would imply p-nilpotence of a finite group G. The implication of p-nilpotence also can be deduced without the transfer or characters if the group is p-constrained. For p-constrained groups we also prove an equivalent condition so that should be p-nilpotent. We show an example that this result is not true for some non-p-constrained groups. In the second part of the...
Erratum to 'Rational Lie Algebras and p-Isomorphisms of Nilpotent Groups and Homotopy Types'
Every -group with all subgroups normal-by-finite is locally finite
A group has all of its subgroups normal-by-finite if is finite for all subgroups of . The Tarski-groups provide examples of -groups ( a “large” prime) of nonlocally finite groups in which every subgroup is normal-by-finite. The aim of this paper is to prove that a -group with every subgroup normal-by-finite is locally finite. We also prove that if for every subgroup of , then contains an Abelian subgroup of index at most .
Exponents of modules and maps.
Extreme elements of finite -groups