• mathematical finite group theory, the concept of regular p-group captures some of the more important properties of abelian p-groups, but is general enough...
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  • Thumbnail for P-group
    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...
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  • morphisms Regular numbers, numbers which evenly divide a power of 60 Regular p-group, a concept capturing some of the more important properties of abelian p-groups...
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  • Thumbnail for Regular expression
    meaning "Global search for Regular Expression and Print matching lines"). Around the same time when Thompson developed QED, a group of researchers including...
    97 KB (8,860 words) - 22:46, 9 May 2025
  • is p-regular (also: a pure-group language) if it is accepted by a permutation automaton. For example, the set of strings of even length forms a p-regular...
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  • Power closed (category P-groups)
    {\displaystyle p^{k}} powers is again a p k {\displaystyle p^{k}} th power. Regular p-groups are an example of power closed groups. On the other hand, powerful p-groups...
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  • class of finite p-groups whose structure was sufficiently similar to that of finite abelian p-groups, the so-called, regular p-groups. The relationship...
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  • particular the theory of group representations, the regular representation of a group G is the linear representation afforded by the group action of G on itself...
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  • Thumbnail for Maersk
    Information". A. P. Moller - Maersk Group A/S. Archived from the original on 8 February 2013. Retrieved 10 January 2013. "Maersk Line - About Us". A. P. Møller...
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  • Thumbnail for Regular icosahedron
    The regular icosahedron (or simply icosahedron) is a convex polyhedron that can be constructed from pentagonal antiprism by attaching two pentagonal pyramids...
    46 KB (4,617 words) - 10:44, 11 May 2025
  • monasteries of monks. All canons regular are to be distinguished from secular canons who belong to a resident group of priests but who do not take public...
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  • order p. The latter question has positive answer whenever G has one of the following conditions: G is nilpotent of class 2 G is a regular p-group G / Z(G)...
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  • A regular polyhedron is a polyhedron whose symmetry group acts transitively on its flags. A regular polyhedron is highly symmetrical, being all of edge-transitive...
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  • ( p 3 , p ) {\displaystyle (p^{3},p)} , ( p 2 , p 2 ) {\displaystyle (p^{2},p^{2})} , ( p 2 , p , p ) {\displaystyle (p^{2},p,p)} , ( p , p , p , p )...
    48 KB (8,133 words) - 20:57, 27 November 2023
  • Platonic solid (redirect from Regular solid)
    geometry, a Platonic solid is a convex, regular polyhedron in three-dimensional Euclidean space. Being a regular polyhedron means that the faces are congruent...
    54 KB (5,645 words) - 17:24, 5 May 2025
  • gamma group is finite, and has at most 2 p + q + 2 {\displaystyle 2^{p+q+2}} elements in it. The gamma group is a 2-group but not a regular p-group. The...
    25 KB (3,664 words) - 21:04, 14 April 2025
  • Thumbnail for Group (mathematics)
    as the vertices on a regular n {\displaystyle n} -gon, as shown in blue in the image for ⁠ n = 6 {\displaystyle n=6} ⁠. The group operation is multiplication...
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  • Thumbnail for Regulares
    The Fuerzas Regulares Indígenas ("Indigenous Regular Forces"), known simply as the Regulares (Regulars), are infantry units of the Spanish Army, largely...
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  • version is that the support of the regular representation is the whole space of irreducible representations. In discrete group theory, where G has the discrete...
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  • Thumbnail for Regular polytope
    In mathematics, a regular polytope is a polytope whose symmetry group acts transitively on its flags, thus giving it the highest degree of symmetry. In...
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  • where each distinct p i {\displaystyle p_{i}} is a Pierpont prime. The symmetry group of an n-sided regular polygon is the dihedral group Dn (of order 2n):...
    31 KB (3,061 words) - 23:46, 28 April 2025
  • Thumbnail for Hexagon
    Hexagon (redirect from Regular hexagon)
    symmetries express nine distinct symmetries of a regular hexagon. John Conway labels these by a letter and group order. r12 is full symmetry, and a1 is no symmetry...
    31 KB (2,873 words) - 21:58, 3 May 2025
  • Thumbnail for Regular dodecahedron
    A regular dodecahedron or pentagonal dodecahedron is a dodecahedron composed of regular pentagonal faces, three meeting at each vertex. It is an example...
    37 KB (3,759 words) - 18:27, 8 May 2025
  • Thumbnail for Regular 4-polytope
    mathematics, a regular 4-polytope or regular polychoron is a regular four-dimensional polytope. They are the four-dimensional analogues of the regular polyhedra...
    27 KB (1,648 words) - 08:01, 15 October 2024
  • Thumbnail for Dihedral group
    mathematics, a dihedral group is the group of symmetries of a regular polygon, which includes rotations and reflections. Dihedral groups are among the simplest...
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  • Standings and Results for Group A of the Regular Season phase of the FIBA European Championship 1992–93 basketball tournament. Main page: FIBA European...
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  • These characters appear in the American animated television series Regular Show, created by J. G. Quintel for Cartoon Network. The series revolves around...
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  • Thumbnail for 2025 FIFA Club World Cup
    Major League Soccer is determined by a postseason playoff rather than the regular season record (in the case of the 2024 season, it was the LA Galaxy). The...
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  • Thumbnail for Philip Hall
    Philip Hall (category Group theorists)
    MR 0986732 Abstract clone Commutator collecting process Isoclinism of groups Regular p-group Three subgroups lemma Hall algebra, and Hall polynomials Hall subgroup...
    5 KB (350 words) - 07:45, 22 September 2024
  • Thumbnail for Covering space
    G=\operatorname {Aut} (p)} is considered as a discrete topological group. Every universal cover p : D → X {\displaystyle p:D\to X} is regular, with deck transformation...
    38 KB (6,981 words) - 03:43, 29 March 2025