Definition & Betydelse | Engelska ordet SUBGROUPS

Definition av SUBGROUPS

1. böjningsform av subgroup

Exempel på hur man kan använda SUBGROUPS i en mening

• By contrast, if n is even, then 4 divides the order of the group, and the subgroups of order 2 are no longer Sylow subgroups, and in fact they fall into two conjugacy classes, geometrically according to whether they pass through two vertices or two faces.
• Ethnic Mongols account for about 96% of the population and consist of Khalkh and other subgroups, all distinguished primarily by dialects of the Mongolian language.
• Prominent subgroups are the Dutch Reformed, the Swiss Reformed, the French Huguenots, the Hungarian Reformed, and the Waldensian Church in Italy.
• The subgroups of any given group form a complete lattice under inclusion, called the lattice of subgroups.
• A group which can be expressed as a direct sum of non-trivial subgroups is called decomposable, and if a group cannot be expressed as such a direct sum then it is called indecomposable.
• As the number of recognised species increased, various attempts were made to divide the species into subgroups, usually on the basis of the pattern of the emerging leaves (vernation).
• They generalize the fundamental theorem of Galois theory about the correspondence between subgroups and subfields, discovered by the French mathematician Évariste Galois.
• Humans possess four pairs of paranasal sinuses, divided into subgroups that are named according to the bones within which the sinuses lie.
• In 1898 George Miller delineated the structure of a Hamiltonian group in terms of its order and that of its subgroups.
• Normal subgroups are important because they (and only they) can be used to construct quotient groups of the given group.
• As the law states that a network becomes more valuable when people can easily form subgroups to collaborate, while this value increases exponentially with the number of connections, business platform that reaches a sufficient number of members can generate network effects that dominate the overall economics of the system.
• Where there are several isomorphic subgroups, the number of such subgroups is indicated in parentheses.
• Although symmetric groups can be defined on infinite sets, this article focuses on the finite symmetric groups: their applications, their elements, their conjugacy classes, a finite presentation, their subgroups, their automorphism groups, and their representation theory.
• The International Mineralogical Association currently classifies amphiboles as a mineral supergroup, within which are two groups and several subgroups.
• Mozambique's major ethnic groups encompass numerous subgroups with diverse languages, dialects, cultures, and histories.
• an inner semidirect product is a particular way in which a group can be made up of two subgroups, one of which is a normal subgroup.
• Like the other southern Han Chinese subgroups, Hakka mainly comprise Central Plains Chinese refugees fleeing social unrest, upheaval, and invasions.
• The Miami were historically made up of several prominent subgroups, including the Piankeshaw, Wea, Pepikokia, Kilatika, Mengakonkia, and Atchakangouen.
• In mathematics, a simple group is a nontrivial group whose only normal subgroups are the trivial group and the group itself.
• The East Slavic languages constitute one of three regional subgroups of the Slavic languages, distinct from the West and South Slavic languages.

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