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, is a strictly simple group if the only ascendant subgroups of are (the trivial subgroup), and itself (the whole group).
In the finite case, a group is strictly simple if and only if it is simple. However, in the infinite case, strictly simple is a stronger property than simple.
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(the whole group). In the finite case, a group is strictlysimple if and only if it is simple. However, in the infinite case, strictlysimple is a stronger...
of finite simplegroups is the Tits group T, which is sometimes considered of Lie type or sporadic — it is almost but not strictly a group of Lie type...
mathematics, a simplegroup 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...
stronger property than simple. The property of being strictlysimple is somewhere in between. Ascendant subgroup Strictlysimplegroup Robinson, Derek J....
= 17,971,200. This is the only simplegroup that is a derivative of a group of Lie type that is not strictly a group of Lie type in any series due to...
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2B2(22n+1) = Suz(22n+1). (Strictly speaking, the group Suz(2) is not counted as a Suzuki group as it is not simple: it is the Frobenius group of order 20.) Ree...
it that a group of mereological simples is arranged in a particular way? What relations must maintain among a group of mereological simples such that...
provides a way to break up an algebraic structure, such as a group or a module, into simple pieces. The need for considering composition series in the context...
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while being strictly characteristic (distinguished) is not transitive, it is true that every fully characteristic subgroup of a strictly characteristic...
www.bbc.co.uk. "Bookshop". Lucy Berry. "Strictly Come Dancing – Jeremy Vine revealed as our first Strictly celebrity of 2015!". BBC One Blog. 10 August...
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an abstract group, and to say that one has a group action of the abstract group that consists of performing the transformations of the group of transformations...
Mixtapes of the Year" list. Strictly Leakage is being rereleased on Vinyl, CD, and cassette on May 17, 2024. "Atmosphere - Strictly Leakage". Rhymesayers Entertainment...
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triangular matrix are also 0, the matrix is called strictly (upper or lower) triangular. All finite strictly triangular matrices are nilpotent of index at...
In statistics, the strictly standardized mean difference (SSMD) is a measure of effect size. It is the mean divided by the standard deviation of a difference...
symmetry groups of spinors, Spin(3), that enables a spinor presentation of rotations. The special unitary group SU(n) is a strictly real Lie group (vs. a...
to be strictly non-palindromic in such sense. In other words, all numbers greater than 6 in this sequence are prime, where 11 is the next strictly non-palindromic...
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adherents, who prefer terms like strictly Orthodox or Haredi. Haredi Jews regard themselves as the most religiously authentic group of Jews, although other movements...