Groupes satisfaisant une condition nilpotence

2002/12/24 by Aliréza Abdollahi, Alireza Abdollahi, Abdollahi, Alireza
Mathematics · Psychology · Social Sciences · #20F45 #20F99 #FOS: Mathematics #Group Theory (math.GR) #Philosophy, Sociology, Political Theory #Psychoanalysis and Psychopathology Research #Social Policies and Family #math.GR #msc:20F45 #msc:20F99

paper · pdf · doi:10.48550/arxiv.math/0212333

arxiv created 2002/12/24 · openalex publication_date 2002/12/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this Note we study the groups G satisfying condition (N,n), that is, every subset of G with n+1 elements contains a pair \x,y\ such that the subgroup is nilpotent.

Related

• Finite groups with a certain number of elements pairwise generating a non-nilpotent subgroup
• A nilpotency criterion for finite groups
• A Sufficient Condition for Nilpotency in a Finite Group
• An inequality detecting nilpotency of finite groups
• The Nilpotency Criterion for the Derived Subgroup of a Finite Group