Torsion-free group with two conjugacy classes

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This page describes a group property obtained as a conjunction (AND) of two (or more) more fundamental group properties: torsion-free group and group with two conjugacy classes
View other group property conjunctions OR view all group properties

Definition

Symbol-free definition

A torsion-free group with two conjugacy classes or aperiodic group with two conjugacy classes is a nontrivial group satisfying these two conditions: it is torsion-free, i.e., no nontrivial element in it has finite order, and it has two conjugacy classes of elements.

Relation with other properties

Weaker properties

Facts