Examples of using Finite groups in English and their translations into Korean
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Invariant theory of finite groups.
Finite Groups'72, Proceedings of the the Gainesville Conference on Finite Groups.
Jordan was particularly interested in the theory of finite groups.
As a senior,I secretly discovered finite groups in the library, and fell in love with them.
Serre J: Linear Representations of Finite Groups.
Character Theory of Finite Groups(Dover Books on Mathematics).
Textbook: Linear representations of finite groups.
A second major piece of work on finite groups was the study of the general linear group over the field with p elements, p prime.
Steinberg, Representation Theory of Finite Groups.
There he worked under Saunders Mac Lane and became interested in finite groups, the subject he would return to after a few years studying algebraic geometry to make it his life's major work.
Recommended Reading: Serre,Linear representations of finite groups.
This he used to obtain results on finite groups, particularly finite simple groups, and the theory of blocks would play a big part in much of Brauer's later work.
Representation theory: Serre,Linear Representations of Finite Groups.
To classify finite groups therefore reduces to two problems, namely the classification of finite simple groups and the solution of the extension problem, that is the problem of how to fit the building blocks together.
He returned from algebraic geometry to his early research topic of finite groups in 1957, stimulated by a collaboration with Herstein.
The university remained closed unto 1945 and the outcome of this period was two major publications on the irreducible representations of finite groups.
A number of important corollaries show that one is now able to answer questions on finite groups which were completely out of reach before.
He has significantly influenced number theory, algebraic geometry, partial differential equations, several complex variables, and the theory of finite groups.
In the first volume Dieudonné has contributed an article on Jordan 's work on finite groups and in the second volume an interesting 116-page introduction to Jordan 's work on linear and multilinear algebra and on the theory of numbers.
Historical introduction to mathematical literature(1916) and he co-authored Theory and application of finite groups(1916) with Blichfeldt and Dickson.
Many of Miller's group theory papers enumerate the possible finite groups which satisfy given conditions such as: the prime factors which divide the order, the orders of two generating permutations and their product; the types of subgroups;
In fact this is not really an accurate statement, for it would be reasonable to argue that before Jordan began his research in this area there was no theory of finite groups.
Volumes 1 and 2 contain Jordan's papers on finite groups, Volume 3 contains his papers on linear and multilinear algebra and on the theory of numbers, while Volume 4 contains papers on the topology of polyhedra, differential equations, and mechanics.
He also considered permutation groups of small degree, groups having a small number of conjugacy classes,multiply transitive groups, and characteristic subgroups of finite groups.
MathWorld: Suzuki group Atlas of Finite Group Representations: Suzuki group. .
March 4(Wed.) 4pm-6pm, A chapter in Finite Group Theory(I, II).
The reason was that suddenly progress began to be made on one of the main problems of finite group theory, namely the classification of finite simple groups. .
He also wrote on other mathematical topics such as On some criteria for indecomposability of polynomials(1955) and A theorem from finite group theory(1956).
I mention one: a finite group is solvable if and only if every subgroup generated by two elements is solvable.
Every finite group can be viewed as built from a finite collection of finite simple groups. .