Group Theory

Daniel Gorenstein announced in 1983 that the finite simple groups had all been classified, but this was premature as he had been misinformed about the proof of the classification of quasithin groups.

the modular group is the projective special linear group

On Finite Groups with a Subgroup Containing the Normalizer of Each of Its Nonunit Elements

Kaplansky made major contributions to group theory, ring theory, the theory of operator algebras and field theory

contributions of major importance in the theory of polytopes, non-euclidean geometry, group theory and combinatorics

group theory of permutation groups

When just 21, Zassenhaus was studying composition series in group theory.

was a Soviet mathematician known for his work in group theory

He is best known for his contributions to the classification of finite simple groups

Émile Mathieu is remembered especially for his discovery ( in 1860 and 1873) of five sporadic simple groups named after him.

an expert on group theory

the use of group theory in physics

working on finite simple groups and vertex algebras

the application of group theory to crystallography

in particular the theory of finite fields and classical groups

mathematical works on group theory which laid foundation for Krull-Schmidt theorem

who worked on group theory and incidence geometry

known for his work on combinatorial problems in nonassociative algebra and group theory

He is known for his work in lattices, group theory, and infinite-dimensional algebras

In geometric group theory, a group G is said to satisfy the Tits alternative

professeur de géométrie et de théorie des groupes

He is also regarded as being a pioneer in the branch of mathematics known as Group theory.

Remembered chiefly for what is now known as the Abel-Ruffini theorem, Ruffini also made a major contribution to the theory of equations, developing the so-called theory of substitutions, the forerunner of modern group theory.

was a German-born mathematician who worked on group theory

Maltsev became a professor at the Ivanovo Pedagogical Institute where he continued to work on group theory and linear groups in particular.

sporadic simple groups in group theory

who worked on finite simple groups

He worked in group theory as well as algebraic number theory

Hellmuth Kneser was a Estonian-born German mathematician best known for his work in group theory and topology.

Hans Fitting was a German mathematician who is well-known for his results in group theory and Lie algebras.

who worked on group theory and number theory

Heinz Prüfer was a German mathematician who proved important results about abelian groups.

In the area of modern algebra known as group theory, the Mathieu group M11 is a sporadic simple group of order 7,920 = 11 · 10 · 9

In mathematics, specifically group theory, the free product is an operation that takes two groups ⁠ G ⁠ and ⁠ H ⁠ and constructs a

In the mathematical subject of group theory, the rank of a group G, denoted rank(G), can refer to the smallest cardinality of a ge

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

In the mathematical area of group theory, the Grigorchuk group or the first Grigorchuk group is a finitely generated group constru

group theory

group presentations

group theory

He is known for his work in the area of group theory.

working in different areas of mathematics including group theory

His major work was on group theory, notably on finite groups and solvable groups.

Walter Feit (October 26, 1930, July 29, 2004) was an Austrian-born American mathematician who worked in finite group theory and representation theory.

John Griggs Thompson (born October 13, 1932) is an American mathematician at the University of Florida noted for his work in the field of finite groups.

Mikhael Leonidovich Gromov (also Mikhail Gromov, Michael Gromov or Misha Gromov; Russian: Михаи́л Леони́дович Гро́мов; born 23 December 1943) is a Russian-French mathematician known for his work in geometry, analysis and group theory.

Graham Higman FRS (19 January 1917-8 April 2008) was a prominent English mathematician known for his contributions to group theory. == Biography == Higman was born in Louth, Lincolnshire, and attended Sutton High School, Plymouth, winning a scholarship to Balliol College, Oxford.

Max Wilhelm Dehn (November 13, 1878, June 27, 1952) was a German mathematician most famous for his work in geometry, topology and geometric group theory.

Marie Ennemond Camille Jordan (French: [ʒɔʁdɑ̃]; 5 January 1838-22 January 1922) was a French mathematician, known both for his foundational work in group theory and for his textbook Cours d'analyse de l'École polytechnique.

In mathematics, the Herzog-Schönheim conjecture is a combinatorial problem in the area of group theory, posed by Marcel Herzog and Jochanan Schönheim in 1974.

Dihedral groups are among the simplest examples of finite groups, and they play an important role in group theory, geometry, and chemistry.

It is a central tool in combinatorial and geometric group theory.

They have applications in many areas of mathematics, including Galois theory, invariant theory, group theory, combinatorics, as well as further applications outside mathematics, including general relativity.

who worked on group theory and on differential geometry

Algebra Group Theory

Algebra Group Theory

Algebra Group Theory

Algebra Group Theory

Algebra Group Theory

Algebra Group Theory

Algebra Group Theory

the Andrews-Curtis conjecture states that every balanced presentation (i.e. a presentation with the same number of

In mathematics, the Klein four-group is an abelian group with four elements, in which each element is self-inverse (composing

Rubik's Cube group

that a group subjected to certain finiteness conditions on chains of subgroups, can be uniquely written as a finite direct product

his work on the connections between geometry and group theory

John Leech was an English mathematician who is best known for the Leech lattice which is important in the theory of finite simple groups.

Ludwig Sylow was a high school teacher who proved what is perhaps the most profound result in the theory of finite groups.

William Burnside wrote the first treatise on groups in English and was the first to develop the theory of groups from a modern abstract point of view.

Otto Schreier worked in combinatorial group theory, particularly on subgroups of free groups and on knot groups.

Reinhold Baer 's mathematical work was wide ranging; topology, abelian groups and geometry. His most important work, however, was in group theory, on the extension problem for groups, finiteness conditions, soluble and nilpotent groups.

Von Dyck made important contributions to function theory, group theory ( where a fundamental result on group presentations is named after him ) topology and potential theory.

Wilhelm Magnus was a German American mathematician who worked in combinatorial group theory, Lie algebras, mathematical physics, elliptic functions, and the study of tessellations.

Wilhelm Specht was a German mathematician who in worked group theory and representation theory.