a group is said to be almost simple if it contains a non-abelian simple group and is contained within the automorphism group of that simple group – that...

mathematics, a simple group is a nontrivial group whose only normal subgroups are the trivial group and the group itself. A group that is not simple can be broken...

mathematics, a quasisimple group (also known as a covering group) is a group that is a perfect central extension E of a simple group S. In other words, there...

of finite simple groups, there are a number of groups which do not fit into any infinite family. These are called the sporadic simple groups, or the sporadic...

\mathrm {M} _{10}} is a multiply transitive permutation group on ten points. It is an almost simple group, of order, 720 = 2 4 ⋅ 3 2 ⋅ 5 = 2 ⋅ 3 ⋅ 4 ⋅ 5 ⋅ 6...

In group theory, a topic in abstract algebra, the Mathieu groups are the five sporadic simple groups M11, M12, M22, M23 and M24 introduced by Mathieu (1861...

the group has a non-trivial center, while for the case n = 6, there is an outer automorphism. The automorphism group of a simple group is an almost simple...

discussed in automorphism group, below. For n ≥ 5, Sn is an almost simple group, as it lies between the simple group An and its group of automorphisms. Sn...

There is also a notion of almost periodic functions on locally compact abelian groups, first studied by John von Neumann. Almost periodicity is a property...

call this property "almost simple".) This differs slightly from the terminology for abstract groups, in that a simple algebraic group may have nontrivial...

classification of finite simple groups (popularly called the enormous theorem) is a result of group theory stating that every finite simple group is either cyclic...

Almost Famous is a 2000 American comedy drama film written and directed by Cameron Crowe, starring Billy Crudup, Frances McDormand, Kate Hudson, Patrick...

simple. It was studied by Jacques Tits (1964) who showed that it is almost simple, its derived subgroup 2F4(2)′ of index 2 being a new simple group,...

finite simple groups of Lie type does have a precise definition, and they make up most of the groups in the classification of finite simple groups. The...

complete list of episodes of the American reality television series The Simple Life starring Paris Hilton and Nicole Richie. The series included 54 episodes...

known as group theory, the monster group M (also known as the Fischer–Griess monster, or the friendly giant) is the largest sporadic simple group, having...

Sk, the stabilizer of the product structure Ω = Δk a group of diagonal type an almost simple group In a survey paper written for the Bulletin of the London...

linear groups. The insoluble groups were classified by (Hering 1985) using the classification of finite simple groups and are all almost simple groups. Multiply...

mathematics, a Lie algebra is semisimple if it is a direct sum of simple Lie algebras. (A simple Lie algebra is a non-abelian Lie algebra without any non-zero...

2-transitive group has a socle that is either a vector space over a finite field or a non-abelian primitive simple group; groups of the latter kind are almost simple...

as in the case of compact simple Lie groups, the corresponding groups turned out to be almost simple as abstract groups (Tits simplicity theorem). Although...

needed] The outer automorphism group of a finite simple group in some infinite family of finite simple groups can almost always be given by a uniform formula...

arranged in a singular layer of cells as simple epithelium, either simple squamous, simple columnar, or simple cuboidal, or in layers of two or more cells...

linear group GL(n, C), and it has as a subgroup the special unitary group, consisting of those unitary matrices with determinant 1. In the simple case n...

and 2004, that culminated in a complete classification of finite simple groups. Group theory has three main historical sources: number theory, the theory...

Almost Famous is a soundtrack album to the film of the same name, released in 2000. It was awarded the 2001 Grammy Award for Best Compilation Soundtrack...

algebraic group over R (necessarily R-anisotropic and reductive), as can many noncompact groups such as the simple Lie group SL(n,R).) The simple Lie groups were...

Simple living refers to practices that promote simplicity in one's lifestyle. Common practices of simple living include reducing the number of possessions...

Joe Russo's Almost Dead is an American rock band formed in 2013 that mainly covers the music of the Grateful Dead. Formed by Furthur and Benevento/Russo...

it a simple metre. More specifically, it is a simple triple metre because there are three beats in each measure; simple duple (two beats) or simple quadruple...