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Descendant subgroup information


In mathematics, in the field of group theory, a subgroup of a group is said to be descendant if there is a descending series starting from the subgroup and ending at the group, such that every term in the series is a normal subgroup of its predecessor.

The series may be infinite. If the series is finite, then the subgroup is subnormal.

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Descendant subgroup

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field of group theory, a subgroup of a group is said to be descendant if there is a descending series starting from the subgroup and ending at the group...

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Normal subgroup

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In abstract algebra, a normal subgroup (also known as an invariant subgroup or self-conjugate subgroup) is a subgroup that is invariant under conjugation...

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Arabs in France

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the Arab diaspora who have immigrated to France, as well as their descendants. Subgroups include Algerians in France, Moroccans in France, Mauritanians in...

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Contranormal subgroup

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subgroup of a descendant subgroup. Every abnormal subgroup is contranormal. Rose 1968, p. 97 Rose, John S. (1968), "Nilpotent Subgroups of Finite Soluble...

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Subnormal subgroup

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subgroup of G is normal in G, then G is called a T-group. Characteristic subgroup Normal core Normal closure Ascendant subgroup Descendant subgroup Serial...

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Monophyly

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but not 2., thus consisting of the descendants of a common ancestor excepting one or more monophyletic subgroups. A polyphyletic grouping meets neither...

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Serial subgroup

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if descending, then H is a descendant subgroup of G. If G is a locally finite group, then the set of all serial subgroups of G form a complete sublattice...

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Tasmanian Aboriginal Centre

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initiatives to introduce DNA testing to establish family history in descendant subgroups. This is strongly opposed by the Palawa and has drawn an angry reaction...

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Ascendant subgroup

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intersection of ascendant subgroups is ascendant. Given any subgroup, there is a minimal ascendant subgroup containing it. Descendant subgroup Dixon, Martyn R....

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Blue Fugates

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methemoglobinemia but does not use the surname Fugate. A reference to "the Huntsville subgroup" is made in the American version of television sitcom Shameless when Kevin...

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Dravidian languages

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five-vowel system with phonemic length is largely preserved in the descendant subgroups, but there are some notable exceptions. The Nilgiri languages (except...

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Amish Mennonite

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Mennonite Alliance Conservative Mennonites List of Amish and their descendants Subgroups of Amish Amish Mennonite at gameo.org. Steven M. Nolt: A History...

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Songhaiborai

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The Songhaiborai (also Songhai, Songhay, Sonrhaï) are a distinct subgroup within the larger Songhai ethnolinguistic family. Residing predominantly in Niger's...

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Caribbean people

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ethnic ancestry, therefore constituting various subgroups, of which are: Afro-Caribbean (largely descendants of bonded African slaves), Hispanic/Latino-Caribbean...

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Forest Finns

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although it survived among a tiny minority until the 20th century. Descendants of the Forest Finns still live in Sweden and Norway. The use of the term...

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Anzhu Islands

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арыыларa, romanized: Anju arıılara) are an archipelago and geographical subgroup of the New Siberian Islands archipelago. They are located between the Laptev...

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Language family

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no direct evidence of Proto-Indo-European or its divergence into its descendant languages survives. In cases such as these, genetic relationships are...

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Paraphyly

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some but not all of its descendant lineages. The grouping is said to be paraphyletic with respect to the excluded subgroups. In contrast, a monophyletic...

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Aboriginal Tasmanians

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initiatives to introduce DNA testing to establish family history in descendant subgroups. This is strongly opposed by the Palawa and has drawn an angry reaction...

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Clade

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monophyletic – that is, composed of a common ancestor and all its lineal descendants – on a phylogenetic tree. In the taxonomical literature, sometimes the...

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Tits group

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by Jacques Tits (1964) who showed that it is almost simple, its derived subgroup 2F4(2)′ of index 2 being a new simple group, now called the Tits group...

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Haplogroup U

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subclade of U8. The old age has led to a wide distribution of the descendant subgroups across Western Eurasia, North Africa, and South Asia. Some subclades...

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Gorlos Mongols

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simplified Chinese: 郭尔罗斯部; traditional Chinese: 郭爾羅斯部) are a Southern Mongol subgroup in Qian Gorlos Mongol Autonomous County, China. According to Ochir, ethnonym...

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Han Chinese

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vast geographical expanse, the Han Chinese can be divided into various subgroups based on their respective cultural, ethnic, genetic, linguistic, and regional...

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Ethnic groups in South Africa

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Pretoria High Court ruled that the descendants of mainland Chinese who arrived before 1994, and had been classified as a subgroup of Coloured by the apartheid...

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Hebrew Israelites

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Hebrew Israelites may refer to: the ancient Israelites, considered as a subgroup, ancestors of or identical with the Hebrews the modern Black Hebrew Israelites...

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Finns

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Balto-Finnic languages, e.g. Estonian and Karelian. The Finnic languages are a subgroup of the larger Uralic family of languages, which also includes Hungarian...

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