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EntityQ286972· pop 19· linked from 228 articles

𝑝-groupe

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Also known as p-primary group, primary group, p-group

In mathematics, specifically group theory, given a prime number p, a '''p-group' is a group in which the order of every element is a power of p. That is, for each element g of a p-group G, there exists a nonnegative integer n such that the product of pn copies of g, and not fewer, is equal to the identity element. The orders of different elements may be different powers of p''.

Wikidata facts

Subclass of
torsion group
Show 2 more facts
different from
Sylow subgroup
maintained by WikiProject
WikiProject Mathematics
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via Wikidata · CC0

Article · Français

En mathématiques, et plus précisément en algèbre, un p-groupe, pour un nombre premier p donné, est un groupe (fini ou infini) dont tout élément a pour ordre une puissance de p. Les p-sous-groupes de Sylow d'un groupe fini sont un exemple important de p-groupes.

Abstract from DBpedia / Wikipedia · CC BY-SA