group of involutions

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• Mathieu group — Group theory Group theory …   Wikipedia

• Coxeter group — In mathematics, a Coxeter group, named after H.S.M. Coxeter, is an abstract group that admits a formal description in terms of mirror symmetries. Indeed, the finite Coxeter groups are precisely the finite Euclidean reflection groups; the symmetry …   Wikipedia

• Hall–Janko group — In mathematics, the Hall Janko group HJ , is a finite simple sporadic group of order 604800. It is also called the second Janko group J 2, or the Hall Janko Wales group, since it was predicted by Janko and constructed by Hall and Wales. It is a… …   Wikipedia

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

• Lyons group — In the mathematical field of group theory, the Lyons group Ly (whose existence was suggested by Richard Lyons in 1970), is a sporadic simple group of order : 28 · 37 · 56 · 7 · 11 · 31 · 37 · 67 : = 51765179004000000: ≈ 5 · 10 16 .Lyons… …   Wikipedia

• Monster group — For infinite groups with all nontrivial proper subgroups isomorphic, see Tarski monster group. Group theory …   Wikipedia

• Quasithin group — In mathematics, a quasithin group is roughly a finite simple group of characteristic 2 type and width 2. Here characteristic 2 type means that its centralizers of involutions resemble those of groups of Lie type over fields of characteristic 2,… …   Wikipedia

• Classification of finite simple groups — Group theory Group theory …   Wikipedia

• Involution (mathematics) — In mathematics, an involution, or an involutary function, is a function that is its own inverse, so that: f ( f ( x )) = x for all x in the domain of f . General propertiesAny involution is a bijection.The identity map is a trivial example of an… …   Wikipedia

• Automorphisms of the symmetric and alternating groups — In group theory, a branch of mathematics, the automorphisms and outer automorphisms of the symmetric groups and alternating groups are both standard examples of these automorphisms, and objects of study in their own right, particularly the… …   Wikipedia

• Cartan decomposition — The Cartan decomposition is a decomposition of a semisimple Lie group or Lie algebra, which plays an important role in their structure theory and representation theory. It generalizes the polar decomposition of matrices. Cartan involutions on Lie …   Wikipedia