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Strictly simple group information


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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Strictly simple group

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(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...

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Sporadic group

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of finite simple groups 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...

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Simple group

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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...

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Absolutely simple group

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stronger property than simple. The property of being strictly simple is somewhere in between. Ascendant subgroup Strictly simple group Robinson, Derek J....

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Tits group

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= 17,971,200. This is the only simple group 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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8 Simple Rules

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emphasis on his often strict rules concerning his daughters and dating. The series' name and premise were derived from the book 8 Simple Rules for Dating My...

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Group of Lie type

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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...

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Mereological nihilism

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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...

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Composition series

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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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HTML

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adheres strictly to the XML specifications for parsing the document's contents. HTML 4 defined three different versions of the language: Strict, Transitional...

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Simple Mail Transfer Protocol

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The Simple Mail Transfer Protocol (SMTP) is an Internet standard communication protocol for electronic mail transmission. Mail servers and other message...

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The Strictly

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The Strictly is a signature dance routine from the BBC show Strictly Come Dancing, which launched in the 13th series of the popular entertainment show...

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Characteristic subgroup

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while being strictly characteristic (distinguished) is not transitive, it is true that every fully characteristic subgroup of a strictly characteristic...

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Jeremy Vine

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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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Strictly Come Dancing series 14

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Strictly Come Dancing returned for its fourteenth series with a launch show on 3 September on BBC One, while the live shows began on 23 September 2016...

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Group action

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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...

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Strictly Leakage

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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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Network Time Protocol

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Suite. Network Working Group. doi:10.17487/RFC1361. RFC 1361. Obsolete. Obsoleted by RFC 1769. D. Mills (March 1995). Simple Network Time Protocol (SNTP)...

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Majority rule

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will receive a simple majority of valid votes, unless they tie. But in situations where more than two are competing for a single seat, simple plurality is...

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Triangular matrix

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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...

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Strictly standardized mean difference

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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...

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Special unitary group

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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...

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5

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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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Simple Knowledge Organization System

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Simple Knowledge Organization System (SKOS) is a W3C recommendation designed for representation of thesauri, classification schemes, taxonomies, subject-heading...

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Haredi Judaism

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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...

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