* Conjugation ( group theory ), the image of an element under the conjugation homomorphisms

Conjugation is also the traditional name of a group of verbs that share a similar conjugation pattern in a particular language ( a verb class ).

Conjugation is an action by automorphisms, i. e., it commutes with the group structure, and this induces linear actions on naturally derived objects, such as its Lie algebra, and the algebra of left-invariant differential operators.

* Conjugation ( acid-base theory ), a system describing a conjugate acid-base pair

Thus, while altruistic persons may under some circumstances be outcompeted by less altruistic persons at the individual level, according to group selection theory the opposite may occur at the group level where groups consisting of the more altruistic persons may outcompete groups consisting of the less altruistic persons.

For example, in some groups, the group operation is commutative, and this can be asserted with the introduction of an additional axiom, but without this axiom we can do quite well developing ( the more general ) group theory, and we can even take its negation as an axiom for the study of non-commutative groups.

The development of abstract algebra brought with itself group theory, rings and fields, Galois theory.

Lavoisier also contributed to early ideas on composition and chemical changes by stating the radical theory, believing that radicals, which function as a single group in a chemical process, combine with oxygen in reactions.

During this time he had officially as students Michel Demazure ( who worked on SGA3, on group schemes ), Luc Illusie ( cotangent complex ), Michel Raynaud, Jean-Louis Verdier ( cofounder of the derived category theory ) and Pierre Deligne.

The term anthem means either a specific form of Anglican church music ( in music theory and religious contexts ), or more generally, a song ( or composition ) of celebration, usually acting as a symbol for a distinct group of people, as in the term " national anthem " or " sports anthem ".

* Base ( group theory ), a sequence of distinct elements of a set

According to physicist Phil Anderson, the term was coined by himself and Volker Heine when they changed the name of their group at the Cavendish Laboratories, Cambridge from " Solid state theory " to " Theory of Condensed Matter ", as they felt it did not exclude their interests in the study of liquids, nuclear matter and so on.

These ideas were unified by Kenneth Wilson in 1972, under the formalism of the renormalization group in the context of quantum field theory.

Theoretical models have also been developed to study the physics of phase transitions, such as the Landau-Ginzburg theory, Critical exponents and the use of mathematical techniques of quantum field theory and the renormalization group.

A conspiracy theory explains an event as being the result of an alleged plot by a covert group or organization or, more broadly, the idea that important political, social or economic events are the products of secret plots that are largely unknown to the general public.

In a context where a conspiracy theory has become popular within a social group, communal reinforcement may equally play a part.

The subscriber to the theory is able to assign moral responsibility for an emotionally troubling event or situation to a clearly conceived group of individuals.

Legislation must conform to a theory of legitimacy, which describes the circumstances under which a particular person or group is entitled to make law, and a theory of legislative justice, which describes the law they are entitled or obliged to make.

The theory that the word originated as an acronym from the names of the group of ministers is a folk etymology, although the coincidence was noted at the time and could possibly have popularized its use.

There are different definitions used in group theory and ring theory.

Commutator identities are an important tool in group theory.

In mathematics, particularly in the area of abstract algebra known as group theory, a characteristic subgroup is a subgroup that is invariant under all automorphisms of the parent group.

The sequence of events leading to his important discovery still remains ambiguous but it seems that one of the advanced students at the university related that the first direct event that led to the publication of Oersted's discovery occurred during a private lecture made before a group of other advanced students in the spring of 1820.

* Subclass Lepospondyli † ( small Paleozoic group, sometimes included in the Labyrinthodontia, which may actually be more closely related to amniotes than Lissamphibia )

This group also includes some related compounds with neutral and even weakly acidic properties.

Another successful a cappella group is Straight No Chaser ( SNC ), which is actually two separate but related groups, one of which is an a cappella, collegiate group from Indiana University in the USA.

" An abstraction " is the product of this process – a concept that acts as a super-categorical noun for all subordinate concepts, and connects any related concepts as a group, field, or category.

One group, consisting of Cleome and related genera, was traditionally included in the Capparaceae but doing so results in a paraphyletic Capparaceae.

* Austro-Bavarian, a group of closely related dialects of German, spoken in parts of Bavaria, most of Austria and the Alto Adige / Südtirol

These continued to dominate throughout the period, but during late Carboniferous, several other groups, Cycadophyta ( cycads ), the Callistophytales ( another group of " seed ferns "), and the Voltziales ( related to and sometimes included under the conifers ), appeared.

Communitarianism as a group of related but distinct philosophies ( or ideologies ) began in the late 20th century, opposing classical liberalism and capitalism while advocating phenomena such as civil society.

* A " professional community " is a group of people with the same or related occupations.

* A group of related Christian churches or Christian denomination

* Clone ( cell biology )— In cell biology, a group of identical cells naturally derived from a common parent cell ; of significance in vertebrate physiology and concepts related to immunology and cancer biology

For example in a paper reporting on a study involving human subjects, there typically appears a table giving the overall sample size, sample sizes in important subgroups ( e. g., for each treatment or exposure group ), and demographic or clinical characteristics such as the average age, the proportion of subjects of each sex, and the proportion of subjects with related comorbidities.

The semantics of Dublin Core were established and are maintained by an international, cross-disciplinary group of professionals from librarianship, computer science, text encoding, museums, and other related fields of scholarship and practice.

The Ethnography of Ecuador consists of a diverse collection of ethnic groups, almost all related to another group in one way or another.

A third group, the Aleut, is related.

He realized that the algebraic solution to a polynomial equation is related to the structure of a group of permutations associated with the roots of the polynomial, the Galois group of the polynomial.

Also in this group are the free-living amoebo-flagellates of the genus Mastigamoeba and related genera.

The Engset calculation is a related formula, named after its developer, T. O. Engset, used to determine the probability of congestion occurring within a telephony circuit group.

The next-higher term in the Taylor series ( related to the second derivative of ) is called group velocity dispersion.

It is a matter of considerable scholarly debate whether the biblical " Hittites " signified any or all of: 1 ) the original Hattians ; 2 ) their Indo-European conquerors ( Nesili ), who retained the name " Hatti " for Central Anatolia, and are today referred to as the " Hittites " ( the subject of this article ); or 3 ) a Canaanite group who may or may not have been related to either or both of the Anatolian groups, and who also may or may not be identical with the later Neo-Hittite ( Luwian ) polities.

A group of authors suppose that it may have been a member of, or related to, the Turkic language family.