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In music, a group is another term for band.

In mathematics, a group is a set together with a binary operation satisfying certain algebraic conditions. See group (mathematics) as well as group theory.

In astronomy, a group is a small number of galaxies (up to 50 or so) that are near each other, like the Local Group, which is the group of galaxies we live in. See groups and clusters of galaxies.

In chemistry, a group is either

a column in the periodic table of chemical elements: see periodic table group; or
a functional entity consisting of certain atomFor alternative meanings see atom (disambiguation). An atom is a microscopic structure found in all ordinary matter around us. Atoms are composed of 3 types of subatomic particles: electrons, which have a negative charge; protons, which have a positive chs whose presence provides a certain property to a moleculeIn science, a molecule is the smallest particle of a pure chemical substance that still retains its chemical composition and properties. A molecule consists of multiple atoms joined by shared pairs of electrons in a covalent bond''. It may consist of atom, e.g. the methyl groupIn chemistry a methyl-group is a hydrophobic Alkyl functional group which is derived from methane (CH). It has the formula C H It is very often abbreviated: :-Me This hydrocarbon unit can be found in many organic compounds, like biodiesel (methyl ester).; see Functional groupIn ecology functional groups are collections of organisms based on morphological, physiological, behavioral, biochemical, or environmental responses or on trophic criteria. In organic chemistry functional groups are submolecular structural motifs, charact.

In sociologySociology is the study of social rules and processes that bind and separate people not only as individuals, but as members of associations, groups, and institutions. A typical textbook definition of sociology calls it the study of the social lives of huma, a group involves a sub-set of a cultureThe word culture comes from the Latin root colere (to inhabit, to cultivate, or to honor). In general it refers to human activity; different definitions of culture reflect different theories for understanding, or criteria for valuing, human activity. or of a societyA society is a group of people that form a semi-closed (or semi-open) system, in which most interactions are with other individuals belonging to the group. More abstractly, a society is a network of relationships between entities. A society is an interdep: see group (sociology)In sociology, a group is usually defined as a collection consisting of a number of people who share certain aspects, interact with one another, accept rights and obligations as members of the group and share a common identity. Using this definition, socie.

In the military, a group is an air force formation: see group (air force unit)

In the Unix operating system each user belongs to at least one group. Each file belongs to one, and only one group: see Group identifier (Unix)

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Group homomorphismGiven two groups G ) and H ·), a group homomorphism from G ) to H ·) is a function h : G H such that for all u and v in G it holds that : h ''u v h ''u · h ''v From this property, one can deduce that h maps the identity element e of G to the identity elem	Group isomorphismIn abstract algebra, a group isomorphism is a function between two groups that sets up a one-to-one correspondence between the elements of the groups in a way that respects the given group operations. If there exists an isomorphism between two groups, the	GroupoidIn mathematics, especially in category theory and homotopy theory, a groupoid is a concept (first developed by Heinrich Brandt) that simultaneously generalises groups, equivalence relations on sets, and actions of groups on sets. They are often used to ca
Groups and clusters of galaxiesGalaxy groups and clusters are super-structures in the spread of galaxies of the cosmos. Matter throughout the visible Universe has, over the course of the Universe's history, aggregated into a range of large-scale structures under the influence of gravit	Group representationRepresentation theory is the branch of mathematics that studies properties of abstract groups via their representations as linear transformations of vector spaces. Representation theory is important because it enables many group-theoretic problems to be r	Group velocityThe group velocity of a wave is the velocity with which the overall shape of the wave's amplitude (known as the envelope of the wave) propagates through space. The group velocity is defined in terms of the wave's angular frequency omega and wave number k
Group action	Group (mathematics)	Groupuscule
Group alerting and dispatching system	Group delay	Group theory
Group process consultation	Group	Group therapy

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