absolutely simple group

абсолютно простая группа

English-Russian scientific dictionary. 2008.

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  • 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

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  • Word problem for groups — In mathematics, especially in the area of abstract algebra known as combinatorial group theory, the word problem for a recursively presented group G is the algorithmic problem of deciding whether two words represent the same element. Although it… …   Wikipedia

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  • Schur's lemma — In mathematics, Schur s lemma is an elementary but extremely useful statement in representation theory of groups and algebras. In the group case it says that that if M and N are two finite dimensional irreducible representations of a group G and… …   Wikipedia

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  • Johann Friedrich Herbart — (May 4, 1776 August 11, 1841) was a German philosopher, psychologist, and founder of pedagogy as an academic discipline.Herbart is now remembered amongst the post Kantian philosophers mostly as making the greatest contrast to Hegel; this in… …   Wikipedia

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