- simple group
-
Math.a group that has no normal subgroup except the group itself and the identity.
* * *
Universalium. 2010.
simple group
Look at other dictionaries:
Simple group — In mathematics, a simple group is a group which is not the trivial group and whose only normal subgroups are the trivial group and the group itself. A group that is not simple can be broken into two smaller groups, a normal subgroup and the… … Wikipedia
SIMPLE Group — Infobox Company company name = SIMPLE Group company company type = Private (Limited liability) foundation = flagicon|GIB Gibraltar (Incorporation: 1999) location city = Gibraltar location country = Gibraltar key people = Fabien Bénédicte Suant,… … Wikipedia
simple group — Math. a group that has no normal subgroup except the group itself and the identity … Useful english dictionary
Characteristically simple group — In mathematics, in the field of group theory, a group is said to be characteristically simple if it has no proper nontrivial characteristic subgroups. Characteristically simple groups are sometimes also termed elementary groups.… … Wikipedia
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
Strictly simple group — 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 is a strictly simple group if the only ascendant subgroups of G are { e } (the trivial subgroup),… … Wikipedia
Group theory — is a mathematical discipline, the part of abstract algebra that studies the algebraic structures known as groups. The development of group theory sprang from three main sources: number theory, theory of algebraic equations, and geometry. The… … Wikipedia
Simple Lie group — Lie groups … Wikipedia
Group (mathematics) — This article covers basic notions. For advanced topics, see Group theory. The possible manipulations of this Rubik s Cube form a group. In mathematics, a group is an algebraic structure consisting of a set together with an operation that combines … 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
