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In abstract algebra, a generating set of a group is a subset of the group set such that every element of the group can be expressed as a combination (under the group operation) of finitely many elements of the subset and their inverses . In other words, if is a subset of a group , then , the subgroup generated by , is the smallest subgroup of ...
The name came from New Found Glory 's song " Head On Collision ". Alt-J –The spoken form of the band ∆, alt + j is the keyboard shortcut used to type ∆ on a Mac computer. ∆ is a mathematical symbol for change. [25] AlunaGeorge – From the first names of the members, Aluna Francis and George Reid.
A cyclic group is a group which is equal to one of its cyclic subgroups: G = g for some element g, called a generator of G . For a finite cyclic group G of order n we have G = {e, g, g2, ... , gn−1}, where e is the identity element and gi = gj whenever i ≡ j ( mod n ); in particular gn = g0 = e, and g−1 = gn−1.
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Fascist Party. Fatherland Party and Fatherland Union. Union of Democratic Forces. Free Democratic Party. First Party. Freedom Party. Green Party. Independence Party. International.
The band name chosen from Smith's list was based on a Van de Graaff generator, a mechanical device that produces static electricity with lightning-like flashes – the misspellings are accidental. Smith recalls the reason for this may have been that Van de Graaff died in 1967, which was widely reported in the media.
Portal. v. t. e. An ethnonym (from Ancient Greek ἔθνος (éthnos) 'nation', and ὄνομα (ónoma) 'name') is a name applied to a given ethnic group. Ethnonyms can be divided into two categories: exonyms (whose name of the ethnic group has been created by another group of people) and autonyms, or endonyms (whose name is created and used ...
Presentation of a group. In mathematics, a presentation is one method of specifying a group. A presentation of a group G comprises a set S of generators —so that every element of the group can be written as a product of powers of some of these generators—and a set R of relations among those generators. We then say G has presentation.
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