Higman group
Summary
In mathematics, the Higman group, introduced by (txt), was the first example of an infinite finitely presented group with no nontrivial finite quotients. The quotient by the maximal proper normal subgroup is a finitely generated infinite simple group. (Higman 1974) later found some finitely presented infinite groups that are simple if is even and have a simple subgroup of index 2 if is odd, one of which is one of the Thompson groups.
Further reading
- Wikipedia, page 34581441, revision 1373995312, Higman group. adopted
About this page
| Tag | QGW0Z23XRK |
|---|---|
| URI | m2://QGW0Z23XRK |
| Aliases | higmans-group |
| Kind | concept |
| Writing | W1 stated |
| Same as | |
| Changed | 4 November 2026 |
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What this page needs for W2
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- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
- edge specializes both: the more general notions and the special cases (0 of 1)
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