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relator
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relator
relator (rɪˈleɪtə(r)) Also 7 -our. [a. L. relātor, agent-n. f. relāt-: see relate v. Cf. F. relateur, Sp., Pg. relator, It. relatore.] 1. a. A relater, narrator. (Common c 1600–1750.)1591 Garrard's Art Warre 126 The discription by draught beeing well knowen, accompanied with the liuely voice of the ...
Oxford English Dictionary
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Relator (disambiguation)
Relator may refer to:
Relator, a concept in group theory
Relator (law)
"Relator" (song)
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Relator (law)
The relator appears as one beneficially interested, but the action is maintained on his behalf. The relator may be any entity including a private individual, trade association, or labor union.
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Relator (song)
"Relator" is the first single from Break Up, a collaborative album between Pete Yorn and Scarlett Johansson. Music video
A music video for "Relator" was released on August 12 on Yahoo! Music and subsequently on VH1.
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Group operation in generator-relator representation Let $G$ be a finite group of order $n$ given by generator-relator representation. **Question :** Let $a$ and $b$ are two elements of $G$ and we want to know the re...
This is called "the word problem", and it is hard. In some finitely presented groups it is actually undecidable. Of course, for finite groups you can always check by hand or write algorithms that terminate, giving you an answer. But it is not much different from "writing down the group as a table" (...
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One-relator group
length |r| of the defining relator r. Magnus observed that the subgroup is itself a one-relator group with the one-relator presentation .
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relatum
‖ relatum (rɪˈlɑːtəm, -ˈeɪtəm) Pl. -ata. [a. L. relātum, neut. pa. pple. of referre refer.] a. Logic. = relate n. 2. b. Linguistics. (Br{obar}ndal's term for) the substantival member of a prepositional phrase (see relator 4).1872 G. Grote Aristotle iii. 101 Habit, disposition, perception, cognition,...
Oxford English Dictionary
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Can non-cyclic one-relator groups be finite? The answer appears to be no, but I can't find it anywhere. Worded another way, do there exist subgroups of finite index in the free group $F_2$ on two generators $x,y$ whi...
The answer is no. A group defined by a presentation with more generators that relations is infinite, because its abelianization (i.e. the abelian group defined by this presentation) is infinite. This is just elementary linear algebra. See for example Finitely presented Group with less relations than...
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Baumslag–Solitar group
In the mathematical field of group theory, the Baumslag–Solitar groups are examples of two-generator one-relator groups that play an important role in See also
Binary tiling
Solv geometry
Notes
References
Gilbert Baumslag and Donald Solitar, Some two-generator one-relator non-Hopfian groups, Bulletin
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Which of the following holds? Problem in group theory. Let $G$ be a group whose presentation is $G=\\{x,y\mid x^5=y^2=e, x^2y=yx\\}$ Then $G$ is isomorphic to 1) $\mathbb Z_5$ 2) $\mathbb Z_{10}$ 3) $\mathbb Z_2...
Captain Lama's answer is obviously much more comprehensive. But if you want to know how to game the multiple-choice system, read on! If we're convinced that _one_ of the choices is correct, we can assume that $x$ and $y$ commute. We can do that because all choices are Abelian, hence $xy = yx$ no mat...
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Baumslag–Gersten group
In the mathematical subject of geometric group theory, the Baumslag–Gersten group, also known as the Baumslag group, is a particular one-relator group This example remains the fastest known growth of the Dehn function among one-relator groups.
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Groups with presentation $\langle x_1,x_2,\dotsc, x_n\mid x_1^3, x_2^3,\dotsc, x_n^3\rangle$ I'm computer engineer but I'm working in some topics related with group theory. I found (accidentally) a group with presenta...
The (spherical) growth function is $(1+2x)/(1-2(n-1)x)$.
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Rockwell International Corp. v. United States
In the course of defending against the relator's action, Rockwell filed a motion to dismiss for lack of subject-matter jurisdiction based on the relator's The Tenth Circuit Court of Appeals held that the relator was an original source.
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en.wikipedia.org
哈佛幸福课与成功学的区别在哪里?
这个工具把人格优势(Signature Strength : 象你的签名、指纹一样定义你人格的优势 )识别为34种,其中有一对恰好就是这两个在中文中容易被混淆的概念:Relator(交往) vs Woo(取悦)。 而 Relator 特指亲密关系,但不限于感情,也包括事业。如果 Relator 是你的人格优势,你会特别擅长与少数伙伴/伴侣经营和享受工作以及感情中持久的密切关系。我本人用《优势识别器2.0》测出的第一大人格优势就是Relator,很大程度上解释了我为什么会投入和享受《积极心理学》的教学。
zhihu
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An exercise about pullback morphism between rings of regular functions. Fix a field $K$ of characteristic zero. We are given the affine variety $X=V(y^2-x^2-x^3)\subset\mathbb{A}^2$ and the morphism $f:\mathbb{A}^1\ri...
Since $X$ is affine, we have $\mathscr{O}(X) = K[x,y]/(y^2-x^2-x^3)$. The map $f^\ast \colon K[x,y]/(y^2-x^2-x^3) \rightarrow K[t] $ is defined by $f^\ast(x) = t^2-1$ and $f^\ast(y) = t(t^2-1)$. Hence for any $p(x,y) \in K[x,y]/(y^2-x^2-x^3)$ we have $$f^\ast p(t) = p\left(t^2-1, t(t^2-1) \right) = ...
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