Sylow J. Thompson J. Tits Helmut Wielandt H. Zassenhaus M. Zorn List of abstract algebra topics List of category theory topics List of Lie group topics...

This is a list of number theory topics. See also: List of recreational number theory topics Topics in cryptography Composite number Highly composite number...

theories List of commutative algebra topics List of homological algebra topics List of group theory topics List of representation theory topics List of...

a list of mathematical topics in quantum theory, by Wikipedia page. See also list of functional analysis topics, list of Lie group topics, list of quantum-mechanical...

This is a list of string theory topics. Strings Nambu–Goto action Polyakov action Bosonic string theory Superstring theory Type I string Type II string...

order of a finite group is the number of its elements. If a group is not finite, one says that its order is infinite. The order of an element of a group (also...

This is a list of algebraic number theory topics. These topics are basic to the field, either as prototypical examples, or as basic objects of study. Algebraic...

In abstract algebra, group theory studies the algebraic structures known as groups. The concept of a group is central to abstract algebra: other well-known...

field of group theory, Lagrange's theorem states that if H is a subgroup of any finite group G, then |H| is a divisor of |G|, i.e. the order (number of elements)...

topics for more theory of algorithms. Peano axioms Giuseppe Peano Mathematical induction Structural induction Recursive definition Naive set theory Element...

In group theory, the Tits group 2F4(2)′, named for Jacques Tits (French: [tits]), is a finite simple group of order    211 · 33 · 52 · 13 = 17,971,200...

Knot theory is the study of mathematical knots. While inspired by knots which appear in daily life in shoelaces and rope, a mathematician's knot differs...

aspects of the theory of finite groups in great depth, especially the local theory of finite groups and the theory of solvable and nilpotent groups. As a...

theory of groups, Graduate texts in mathematics, vol. 148, Springer, ISBN 978-0-387-94285-8 Smith, Geoff; Tabachnikova, Olga (2000), Topics in group theory...

specifically group theory, Cauchy's theorem states that if G is a finite group and p is a prime number dividing the order of G (the number of elements in...

outline is provided as an overview of and topical guide to critical theory: Critical theory – the examination and critique of society and culture, drawing from...

This is a list of representation theory topics, by Wikipedia page. See also list of harmonic analysis topics, which is more directed towards the mathematical...

or "precedes" another. An alphabetical list of many notions of order theory can be found in the order theory glossary. See also inequality, extreme value...

This is a list of integration and measure theory topics, by Wikipedia page. Length Area Volume Probability Moving average Riemann sum Riemann–Stieltjes...

specifically group theory, a nilpotent group G is a group that has an upper central series that terminates with G. Equivalently, it has a central series of finite...

This is a list of algebraic coding theory topics....

normal subgroups of S4. According to Galois theory, the existence of the Klein four-group (and in particular, the permutation representation of it) explains...

In group theory, the normal closure of a subset S {\displaystyle S} of a group G {\displaystyle G} is the smallest normal subgroup of G {\displaystyle...

The mentioned classification theorem states that the list of finite simple groups consists of 18 countably infinite families plus 26 exceptions that...

mathematics, the classification of finite simple groups is a result of group theory stating that every finite simple group is either cyclic, or alternating...

permutation groups is Burnside's Theory of Groups of Finite Order of 1911. The first half of the twentieth century was a fallow period in the study of group theory...

specifically in group theory, the phrase group of Lie type usually refers to finite groups that are closely related to the group of rational points of a reductive...

symmetry List of harmonic analysis topics List of representation theory topics Representation theory of finite groups Semisimple representation "1.4: Representations"...

proper generalization of the group axioms, this gives a notion of n-ary group. Mathematics portal List of group theory topics Some authors include an...

a list of topics that have, either currently or in the past, been characterized as pseudoscience by academics or researchers. Detailed discussion of these...