Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/P-group> ?p ?o }
- P-group abstract "In mathematical group theory, given a prime number p, a p-group is a group in which each element has a power of p as its order. That is, for each element g of a p-group, there exists a nonnegative integer n such that the product of pn copies of g, and not less, is equal to the identity element. The orders of different elements may be different powers of p. Such groups are also called p-primary or simply primary.A finite group is a p-group if and only if its order (the number of its elements) is a power of p. Given a finite group G, the Sylow theorems guarantee for every prime power pn that divides the order of G the existence of a subgroup of G of order pn.The remainder of this article deals with finite p-groups. For an example of an infinite abelian p-group, see Prüfer group, and for an example of an infinite simple p-group, see Tarski monster group.".
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- P-group wikiPageWikiLinkText "Prevalence of p-groups".
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- P-group wikiPageWikiLinkText "local group theory".