We must avoid the notion, suggested to some people by examples such as those just mentioned, that ideas are `` units '' in some way comparable to coins or counters that can be passed intact from one group of people to another or even, for that matter, from one individual to another.

For if the small group notion involves the implicit claim that the phenomena of sociological investigations are of atomic or subatomic proportions, the philosopher needs to know the extent to which such entities are valid.

* Bundles of groups, group actions, sets, and equivalence relations can be regarded as special cases of the notion of groupoid, a point of view that suggests a number of analogies ;

Left wing political philosophy generally couples the notion of freedom with that of positive liberty, or the enabling of a group or individual to determine their own life or realize their own potential.

The dual notion of a quotient group is a subgroup, these being the two primary ways of forming a smaller group from a larger one.

In mathematics, especially in category theory and homotopy theory, a groupoid ( less often Brandt groupoid or virtual group ) generalises the notion of group in several equivalent ways.

Teed founded a group called the Koreshan Unity based on this notion, which he called Koreshanity.

This idea later led to the notion of a G-structure, where G is a Lie group of " local " symmetries of a manifold.

If the underlying manifold is allowed to be infinite dimensional ( for example, a Hilbert manifold ), then one arrives at the notion of an infinite-dimensional Lie group.

This is important, because it allows generalization of the notion of a Lie group to Lie supergroups.

Thus three major themes in 19th century mathematics were combined by Lie in creating his new theory: the idea of symmetry, as exemplified by Galois through the algebraic notion of a group ; geometric theory and the explicit solutions of differential equations of mechanics, worked out by Poisson and Jacobi ; and the new understanding of geometry that emerged in the works of Plücker, Möbius, Grassmann and others, and culminated in Riemann's revolutionary vision of the subject.

After contributions from other fields such as number theory and geometry, the group notion was generalized and firmly established around 1870.

There is a notion of ind-finite group, which is the concept dual to profinite groups ; i. e. a group G is ind-finite if it is the direct limit of an inductive system of finite groups.

The general notion of Civic virtue and group dedication has been attested in culture globally throughout the historical period.

By the twentieth century, the modern notion of science as a special brand of information about the world, practiced by a distinct group and pursued through a unique method, was essentially in place.

Therefore these arguments held that a group of people can join a government because it has the capacity to exercise a single will and make decisions with a single voice in the absence of sovereign authority — a notion rejected by Hobbes and later contract theorists.

The definition in the previous section generalizes the notion of inverse in group relative to the notion of identity.

A related but different notion is a free abelian group.

The notion of inner automorphism for Lie algebras is compatible with the notion for groups in the sense that an inner automorphism of a Lie group induces a unique inner automorphism of the corresponding Lie algebra.

At a meeting of the 19-member Rio group in May 2003, Toledo proposed developing a joint strategy to deal with drug trafficking, but pressure from Washington, which preferred bilateral efforts, helped kill the notion.

What a swinging group they must have been when they first started entertaining!!

In March 1881 the group left Petropavlovsk and started the journey towards Yavin by foot.

The Belgian hip hop scene started in the late 1980s with a U. S .- based techno / hip hop group called Technotronic.

Another 1980s group was the Osdorp Posse, who first started to record tracks in Dutch.

By the end of 1898, Western pilgrims started coming to Akka on pilgrimage to visit ` Abdu ' l-Bahá ; this group of pilgrims, including Phoebe Hearst, was the first time that Bahá ' ís raised up in the West had met ` Abdu ' l-Bahá.

Gender-free contra dancing started in the 1970s, with the Boston Lesbian and Gay Folk Dance as perhaps the first group regularly contra dancing without gender roles.

" In 1987, Chris Ricciotti started a gay dance group in Providence, RI, using the terms " ladies " and " gents " although dancers were not lining up according to gender.

Other gender-free dance groups started up in the area after that, and in 1989, at the gender-free dance group in Jamaica Plain, MA, a group of dancers led by Janet Dillon protested the use of these terms, and the armband system was devised: the traditionally male-role dancers would wear armbands and be called " armbands " or just " bands ," and the traditionally female-role dancers would be called " bare arms " or just " bares.

After those recordings the group started to move towards a softer sound.

Cyclone development was started as a joint project of AT & T Labs Research and Greg Morrisett's group at Cornell in 2001.

* The Color Changin ' Click, a rap group which was started by rapper Chamillionaire

" By the end of the following year he had taken up the ukelele and tea-chest bass and begun to participate in skiffle sessions with friends, and had started to play the piano ; meanwhile his stage presentation of numbers by both Presley and Chuck Berry — complete with gyrations in tribute to the original artists — to his local Wolf Cub group was described as " mesmerizing ... like someone from another planet.

There is also an initiative started by the OLPC foundation, a group out of MIT Media Lab and supported by several major corporations to develop a $ 100 laptop to deliver educational software.

Founded as an explicitly Christian democratic group, it declined at first but reversed its fortunes in the 1980s and 1990s when, as a result of the gradual enlargement of the EPP ( party ), it started to pick up members from other centre-right but non-Christian democratic parties.

He opened a tobacco shop in Tirana called Flora where a small communist group soon started gathering.

In 1976, Brood started his own group, Herman Brood & his Wild Romance, ( and started work with photographer Anton Corbijn ) initially with Ferdi Karmelk ( guitar ), Gerrit Veen ( bass ), Peter Walrecht ( drums ), and Ellen Piebes and Ria Ruiters ( vocals ).

Following the breakup of the group, Shearer co-wrote the film Real Life with Albert Brooks and started writing for Martin Mull's television series Fernwood 2 Night.

His arrival with a letter of introduction to Matthew Boulton from Benjamin Franklin was to have a galvanising effect on the existing circle, which began to explicitly identify itself as a group and actively started to attract new members.

In 2008, the Lebanese Army started establishing the Special Operations command in order to group the Army's elite units.

A new public transport network started on 3 July 2011 and is operated by the German-owned Arriva group.

The dramatic shift toward reform started in early 1990 when the first organized opposition group, the Mongolian Democratic Union, appeared.

However, the original design group appeared to be even less interested in working for Jack Tramiel than it had for Motorola, and the team quickly started breaking up.

The latter group of refugees started to impose their view of Hinduism upon the Magars, while the former group were given the status of Chettri by the latter group in accordance with their view of Hinduism.