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cyclically reduced

См. также в других словарях:

  • Cyclically reduced word — In mathematics, cyclically reduced word is a concept of combinatorial group theory. Let F(X) be a free group. Then a word w in F(X) is said to be cyclically reduced if and only if every cyclic permutation of the word is reduced. Properties Every… …   Wikipedia

  • Small cancellation theory — In the mathematical subject of group theory, small cancellation theory studies groups given by group presentations satisfying small cancellation conditions, that is where defining relations have small overlaps with each other. It turns out that… …   Wikipedia

  • Van Kampen diagram — In the mathematical area of geometric group theory, a van Kampen diagram is a planar diagram used to represent the fact that a particular word among the generators of a group given by a group presentation represents the identity element in that… …   Wikipedia

  • Out(Fn) — In mathematics, Out(Fn) is the outer automorphism group of a free group on n generators. These groups play an important role in geometric group theory. Contents 1 Outer space 1.1 Definition 1.2 Connection to length fun …   Wikipedia

  • Word (group theory) — In group theory, a word is any written product of group elements and their inverses. For example, if x , y , and z are elements of a group G , then xy , z 1 xzz , and y 1 zxx 1 yz 1 are words in the set { x , y , z }. Words play an important role …   Wikipedia

  • Dehn function — In the mathematical subject of geometric group theory, a Dehn function, named after Max Dehn, is an optimal function associated to a finite group presentation which bounds the area of a relation in that group (that is a freely reduced word in the …   Wikipedia

  • List of mathematics articles (C) — NOTOC C C closed subgroup C minimal theory C normal subgroup C number C semiring C space C symmetry C* algebra C0 semigroup CA group Cabal (set theory) Cabibbo Kobayashi Maskawa matrix Cabinet projection Cable knot Cabri Geometry Cabtaxi number… …   Wikipedia

  • Freiheitssatz — In mathematics, the Freiheitssatz (German: freedom/independence theorem ) is a result in the presentation theory of groups. The result was proposed by the German mathematician Max Dehn and proved by his student, Wilhelm Magnus, in his doctoral… …   Wikipedia

  • Transposable integer — A summary of this article appears in Repeating decimal. The digits of some specific integers permute or shift cyclically when they are multiplied by a number n. Examples are: 142857 × 3 = 428571 (shifts cyclically one place left) 142857 × 5 =… …   Wikipedia

  • dipteran — /dip teuhr euhn/, adj. 1. dipterous (def. 1). n. 2. a dipterous insect. [1835 45; DIPTER(A) + AN] * * * Any member of the more than 85,000 species in the insect order Diptera (the two winged, or true, flies), characterized by the use of only one… …   Universalium

  • Advanced Encryption Standard — Infobox block cipher name = AES caption = The SubBytes step, one of four stages in a round of AES designers = Vincent Rijmen, Joan Daemen publish date = 1998 derived from = Square derived to = Anubis, Grand Cru related to = certification = AES… …   Wikipedia

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