imprimitive set - translation to ρωσικά
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imprimitive set - translation to ρωσικά

PERMUTATION GROUP THAT PRESERVES NO NON-TRIVIAL PARTITION
Primitive group; Primitive permutation representation; Imprimitive; Imprimitive group

imprimitive set      

математика

импримитивное множество

imprimitive set      
импримитивное [циклическое] множество
finite subset         
  • The [[natural numbers]] <math>\mathbb{N}</math> are contained in the [[integers]] <math>\mathbb{Z}</math>, which are contained in the [[rational numbers]] <math>\mathbb{Q}</math>, which are contained in the [[real numbers]] <math>\mathbb{R}</math>, which are contained in the [[complex numbers]] <math>\mathbb{C}</math>
  • Passage with a translation of the original set definition of Georg Cantor. The German word ''Menge'' for ''set'' is translated with ''aggregate'' here.
  • ''A'' ∩ ''B''}}</div>
  • ''A'' \ ''B''}}</div>
  • <div class="center">The '''symmetric difference''' of ''A'' and ''B''</div>
  • ''A'' ∪ ''B''}}</div>
  • <div class="center">The '''complement''' of ''A'' in ''U''</div>
  • ''A'' is a subset of ''B''.<br>''B'' is a superset of ''A''.
WELL-DEFINED MATHEMATICAL COLLECTION OF DISTINCT OBJECTS
Set (math); Crisp set; Conventional set; Number sets; Set (mathematical); Mathematical set; Set logic; Basic set operations; Finite subset

математика

конечное подмножество

Ορισμός

кодировка
ж.
То же, что: кодирование.

Βικιπαίδεια

Primitive permutation group

In mathematics, a permutation group G acting on a non-empty finite set X is called primitive if G acts transitively on X and the only partitions the G-action preserves are the trivial partitions into either a single set or into |X| singleton sets. Otherwise, if G is transitive and G does preserve a nontrivial partition, G is called imprimitive.

While primitive permutation groups are transitive, not all transitive permutation groups are primitive. The simplest example is the Klein four-group acting on the vertices of a square, which preserves the partition into diagonals. On the other hand, if a permutation group preserves only trivial partitions, it is transitive, except in the case of the trivial group acting on a 2-element set. This is because for a non-transitive action, either the orbits of G form a nontrivial partition preserved by G, or the group action is trivial, in which case all nontrivial partitions of X (which exists for |X| ≥ 3) are preserved by G.

This terminology was introduced by Évariste Galois in his last letter, in which he used the French term équation primitive for an equation whose Galois group is primitive.

Μετάφραση του &#39imprimitive set&#39 σε Ρωσικά