6533b852fe1ef96bd12aad81

RESEARCH PRODUCT

2-Engel relations between subgroups

María Dolores Pérez-ramosPeter HauckM.p. Gállego

subject

Study groupsNilpotentPure mathematicsClass (set theory)Algebra and Number Theory010102 general mathematics0502 economics and business05 social sciencesStructure (category theory)050207 economics0101 mathematics01 natural sciencesMathematics

description

Abstract In this paper we study groups G generated by two subgroups A and B such that 〈 a , b 〉 is nilpotent of class at most 2 for all a ∈ A and b ∈ B . A detailed description of the structure of such groups is obtained, generalizing the classical result of Hopkins and Levi on 2-Engel groups.

http://zaguan.unizar.es/record/56792