Absolutely simple group — 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 is an absolutely simple group if the only serial subgroups of G are { e } (the trivial subgroup),… … Wikipedia
Group of Lie type — In mathematics, a group of Lie type G(k) is a (not necessarily finite) group of rational points of a reductive linear algebraic group G with values in the field k. Finite groups of Lie type form the bulk of nonabelian finite simple groups.… … Wikipedia
Classification of finite simple groups — Group theory Group theory … Wikipedia
Group contribution method — A group contribution method is a technique to estimate and predict thermodynamic and other properties from molecular structures. Introduction In today s chemical processes many hundreds of thousands components are used either as raw material, as… … Wikipedia
List of finite simple groups — In mathematics, the classification of finite simple groups states thatevery finite simple group is cyclic, or alternating, or in one of 16 families of groups of Lie type (including the Tits group, which strictly speaking is not of Lie type),or… … Wikipedia
Sporadic group — In the mathematical field of group theory, a sporadic group is one of the 26 exceptional groups in the classification of finite simple groups. A simple group is a group G that does not have any normal subgroups except for the subgroup consisting… … Wikipedia
Tits group — The Tits group 2 F 4(2) prime; is a finite simple group of order 17971200 named for the Belgian mathematician Jacques Tits. It is the derived subgroup of the twisted Chevalley group 2 F 4(2). In the classification of finite simple groups, it is… … Wikipedia
Center (group theory) — In abstract algebra, the center of a group G is the set Z ( G ) of all elements in G which commute with all the elements of G . That is,:Z(G) = {z in G | gz = zg ;forall,g in G}.Note that Z ( G ) is a subgroup of G , because # Z ( G ) contains e … Wikipedia
Lorentz group — Group theory Group theory … Wikipedia
Quantum group — In mathematics and theoretical physics, quantum groups are certain noncommutative algebras that first appeared in the theory of quantum integrable systems, and which were then formalized by Vladimir Drinfel d and Michio Jimbo. There is no single … Wikipedia
