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Higman group

Index Higman group

In mathematics, the Higman group, introduced by, was the first example of an infinite finitely presented group with no non-trivial finite quotients. [1]

6 relations: Finitely generated group, Mathematics, Normal subgroup, Presentation of a group, Simple group, Thompson groups.

Finitely generated group

In algebra, a finitely generated group is a group G that has some finite generating set S so that every element of G can be written as the combination (under the group operation) of finitely many elements of the finite set S and of inverses of such elements.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Normal subgroup

In abstract algebra, a normal subgroup is a subgroup which is invariant under conjugation by members of the group of which it is a part.

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Presentation of a group

In mathematics, one method of defining a group is by a presentation.

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Simple group

In mathematics, a simple group is a nontrivial group whose only normal subgroups are the trivial group and the group itself.

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Thompson groups

In mathematics, the Thompson groups (also called Thompson's groups, vagabond groups or chameleon groups) are three groups, commonly denoted F \subseteq T \subseteq V, which were introduced by Richard Thompson in some unpublished handwritten notes in 1965 as a possible counterexample to von Neumann conjecture.

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Redirects here:

Higman's group.

References

[1] https://en.wikipedia.org/wiki/Higman_group

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