transitive group

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• 2-transitive group — In the area of abstract algebra known as group theory, a 2 transitive group is a transitive permutation group in which a point stabilizer acts transitively on the remaining points. Every 2 transitive group is a primitive group, but not conversely …   Wikipedia

• Group action — This article is about the mathematical concept. For the sociology term, see group action (sociology). Given an equilateral triangle, the counterclockwise rotation by 120° around the center of the triangle acts on the set of vertices of the… …   Wikipedia

• group — group1 [ grup ] noun count *** ▸ 1 people in same place ▸ 2 people with same ideas ▸ 3 similar people/things ▸ 4 set of people/things ▸ 5 musicians/singers ▸ 6 set of companies 1. ) a small number of people who are together in the same place:… …   Usage of the words and phrases in modern English

• group — I UK [ɡruːp] / US [ɡrup] noun [countable] Word forms group : singular group plural groups *** 1) a) a small number of people who are together in the same place: can be followed by a singular or plural verb group of: There was a group of girls… …   English dictionary

• group — 1 /gru:p/ noun (C) 1 several people or things that are all together in the same place (+ of): a group of tall trees | Get into groups of four. (also + plural verb) BrE: A group of us are going to London for the concert. 2 several people or things …   Longman dictionary of contemporary English

• group — I. noun Usage: often attributive Etymology: French groupe, from Italian gruppo, by form of groppo knot, tangle, of Germanic origin; akin to Old High German kropf craw more at crop Date: 1686 1. two or more figures forming a complete unit in a… …   New Collegiate Dictionary

• Distance-transitive graph — The Biggs Smith graph, the largest 3 regular distance transitive graph. Graph families defined by their automorphisms distance transitive …   Wikipedia

• Higman–Sims group — In the mathematical field of group theory, the Higman–Sims group HS (named after Donald G. Higman and Charles C. Sims) is a finite group of order : 29 · 32 · 53 · 7 · 11: = 44352000.: ≈ 4 · 107.It is a simple group , meaning it does not have any… …   Wikipedia

• Mathieu group — Group theory Group theory …   Wikipedia

• Conway group — Group theory Group theory …   Wikipedia

• Symmetric group — Not to be confused with Symmetry group. A Cayley graph of the symmetric group S4 …   Wikipedia