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...

a simple Lie group is a connected non-abelian Lie group G which does not have nontrivial connected normal subgroups. The list of simple Lie groups can...

classification of finite simple groups states that every finite simple group is cyclic, or alternating, or in one of 16 families of groups of Lie type, or one...

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...

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; it has...

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...

SIMPLE Group Limited is a conglomeration of separately run companies that each has its core area in International Consulting. The core business areas are...

classification of finite simple groups says that most finite simple groups arise as the group G(k) of k-rational points of a simple algebraic group G over a finite...

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...

quotient groups and simple groups. In addition to their abstract properties, group theorists also study the different ways in which a group can be expressed...

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...

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...

mathematics, E8 is any of several closely related exceptional simple Lie groups, linear algebraic groups or Lie algebras of dimension 248; the same notation is...

simple groups are sometimes also termed elementary groups. Characteristically simple is a weaker condition than being a simple group, as simple groups must...

List of simple groups may refer to: List of finite simple groups List of simple Lie groups This disambiguation page lists articles associated with the...

Look up simple in Wiktionary, the free dictionary. Simple or SIMPLE may refer to: Simplicity, the state or quality of being simple Simple (album), by...

abelian group is a direct product of cyclic groups. Every cyclic group of prime order is a simple group, which cannot be broken down into smaller groups. In...

Simple Minds are a Scottish rock band formed in Glasgow in 1977 by Alan Cairnduff as Johnny & The Self-Abusers, with long-standing band members Jim Kerr...

simple groups of Lie type, 63 and 36 are both exponents that figure in the orders of three exceptional groups of Lie type. The orders of these groups...

In mathematics, in the field of group theory, a group is said to be absolutely simple if it has no proper nontrivial serial subgroups. That is, G {\displaystyle...

In group theory, the Tits group 2F4(2)′, named for Jacques Tits (French: [tits]), is a finite simple group of order    17,971,200 = 211 · 33 · 52 · 13...

complete classification of finite simple groups was achieved, meaning that all those simple groups from which all finite groups can be built are now known....

In the area of modern algebra known as group theory, the Fischer groups are the three sporadic simple groups Fi22, Fi23 and Fi24 introduced by Bernd Fischer (1971...

every variety contains a simple algebra. Simple group Simple ring Central simple algebra Lampe, W.A.; Taylor, W. (1982). "Simple algebras in varieties"...

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 Émile Mathieu (1861...

In mathematics, in the field of group theory, a group is said to be strictly simple if it has no proper nontrivial ascendant subgroups. That is, G {\displaystyle...

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

In the area of modern algebra known as group theory, the Rudvalis group Ru is a sporadic simple group of order    145,926,144,000 = 214 · 33 · 53 · 7 ·...

area of modern algebra known as group theory, the Janko group J2 or the Hall-Janko group HJ is a sporadic simple group of order    604,800 = 27 · 33 ·...

Thompson during his work on finding all the minimal finite simple groups. The simple N-groups were classified by Thompson (1968, 1970, 1971, 1973, 1974...