Diagrams with selection and method for constructing boundedly generated and boundedly simple groups

Alexey Muranov (1)

1 Department of Mathematics, Vanderbilt University

The existence of an infinite simple boundedly generated 2-generated group and the existence of a boundedly simple 2-generated group containing a free non-cyclic subgroup are proved.

Domaines: Théorie des groupes [math.GR]

Alexey Muranov. Diagrams with selection and method for constructing boundedly generated and boundedly simple groups. Communications in Algebra, 2005, 33 (4), pp.1217--1258. ⟨10.1081/AGB-200053951⟩. ⟨hal-00640586⟩