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adding the tag [congugacy-classes].
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edit approved Nov 3, 2013 at 15:49
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edit approved Nov 3, 2013 at 15:49
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Post Reopened by Alain Valette, Olivier Benoist, Seva, Dan Petersen, Benjamin Steinberg
Improved the formulation of the question, and assigned a more specific tag.
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Stefan Kohl ♦
Stefan Kohl ♦
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A Is there an infinite group $G$ haswith exactly two different conjugacy classes, can $|G|=+\infty $?

AIs there an infinite group $G$ haswith exactly two different conjugacy classes (obviously {1} is one of them), can we find the group $G$ such that $|G|=+\infty $ ?

A group $G$ has exactly two different conjugacy classes, can $|G|=+\infty $?

A group $G$ has exactly two different conjugacy classes (obviously {1} is one of them), can we find the group $G$ such that $|G|=+\infty $ ?

Is there an infinite group with exactly two conjugacy classes?

Is there an infinite group with exactly two conjugacy classes?

Post Closed as "Not suitable for this site" by Will Jagy, GH from MO, Kim Morrison
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Karoo Yang
Karoo Yang
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A group $G$ has exactly two different conjugacy classes, can $|G|=+\infty $?

A group $G$ has exactly two different conjugacy classes (obviously {1} is one of them), can we find the group $G$ such that $|G|=+\infty $ ?