On the 2 out of 3 lemma

Autor: L. Hétheyl, M. SzÖke
Rok vydání: 1999
Předmět:
Zdroj: Communications in Algebra. 27:2547-2553
ISSN: 1532-4125
0092-7872
Popis: In this paper, we examine the following question:do two conditions imply the third one in the '2 out of 3' Lemma (see e.g. Lemma 9.5 in [Alp86, p. 68])?We get a positive answer in two implications for p-nilpotent groups (Section 2) and give some counterexamples in case of soluble groups (see Section 3).
Databáze: OpenAIRE