Higman's theorem may refer to: Hall–Higman theorem in group theory, proved in 1956 by Philip Hall and Graham Higman Higman's embedding theorem in group...

In group theory, Higman's embedding theorem states that every finitely generated recursively presented group R can be embedded as a subgroup of some finitely...

tree theorem states that the set of finite trees over a well-quasi-ordered set of labels is itself well-quasi-ordered under homeomorphic embedding. A finitary...

G. Higman, but studied also by Graham Higman. Higman's embedding theorem Feit-Higman theorem Higman group Higman's lemma HNN extension Hall–Higman theorem...

Grushko theorem (group theory) Higman's embedding theorem (group theory) Isoperimetric gap (geometric group theory, metric geometry) Jordan–Hölder theorem (group...

Introduced in a 1949 paper Embedding Theorems for Groups by Graham Higman, Bernhard Neumann, and Hanna Neumann, it embeds a given group G into another...

In mathematics, Higman's lemma states that the set Σ ∗ {\displaystyle \Sigma ^{*}} of finite sequences over a finite alphabet Σ {\displaystyle \Sigma }...

In mathematics, the Feit–Thompson theorem, or odd order theorem, states that every finite group of odd order is solvable. It was proved in the early 1960s...

construction. 1961 (1961): Graham Higman characterises the subgroups of finitely presented groups with Higman's embedding theorem, connecting recursion theory...

while neither being Hopfian nor being non-Hopfian are Markov. Higman's embedding theorem Bass–Serre theory S. I. Adyan, Algorithmic unsolvability of problems...

by embedding is a well-quasi-order if and only if ( X , ≤ ) {\displaystyle (X,\leq )} is a well-quasi-order (Higman's lemma). Recall that one embeds a...

(respectively S-universal for/in P {\displaystyle {\mathcal {P}}} ). The Higman Embedding Theorem can be used to prove that there is a finitely presented group that...

classification of finite simple groups (popularly called the enormous theorem) is a result of group theory stating that every finite simple group is...

Generalized 4-gons are called generalized quadrangles. By the Feit-Higman theorem the only finite generalized n-gons with at least three points per line...

unsolvable. This has some interesting consequences. For instance, the Higman embedding theorem can be used to construct a group containing an isomorphic copy...

However a theorem of Graham Higman states that a finitely generated group has a recursive presentation if and only if it can be embedded in a finitely...

eventually arrives at uniquely determined simple groups, by the Jordan–Hölder theorem. The complete classification of finite simple groups, completed in 2004...

following result, providing a far-reaching generalization of Higman's embedding theorem: The word problem of a finitely generated group is decidable in...

Prentice-Hall Lindner, Charles C.; Evans, Trevor (1977), Finite embedding theorems for partial designs and algebras, Séminaire de Mathématiques Supérieures...

ordering The proof of this property is based on Higman's lemma, or, more generally, Kruskal's tree theorem. Nachum Dershowitz; Jean-Pierre Jouannaud (1990)...

automorphisms. Sn can be embedded into An+2 by appending the transposition (n + 1, n + 2) to all odd permutations, while embedding into An+1 is impossible...

finite simple groups. Close to half of the proof of the Feit–Thompson theorem involves intricate calculations with character values. Easier, but still...

Horton (1971), "Three lectures on exceptional groups", in Powell, M. B.; Higman, Graham (eds.), Finite simple groups, Proceedings of an Instructional Conference...

is a split extension of M21 by the symmetric group S3. PΓL(3,4) has an embedding as a maximal subgroup of M24.(Griess 1998, p. 55) A hyperoval has no 3...