Grigorchuk Topology
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Grigorchuk Topology
Hryhorchuk is a Ukrainian surname derived from the given name "Hryhor", or Gregory. A variant Ryhorchuk is derived form the simplified variant "Ryhor" of the given name "Hryhor". *The Russified form is Grigorchuk. *Belarusian forms: Hryharchuk (from Ukrainian), Grygarchuk (via Russian), or Ryharchuk (native or from "Ryhorchuk"). *Polonized form: Gregorczuk. *Lithuanized: Grigorčukas (via Russian), Gregorčukas (via Polish) Notable people with the surname include: * Lidiia Hryhorchuk * Roman Hryhorchuk * Rostislav Grigorchuk See also * * *Grigorchuk group In the mathematical area of group theory, the Grigorchuk group or the first Grigorchuk group is a finitely generated group constructed by Rostislav Grigorchuk that provided the first example of a finitely generated group of intermediate (that is, f ... {{surname Ukrainian-language surnames ...
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Gregory (given Name)
The masculine Given name, first name Gregory derives from the Latin name "Gregorius", which came from the late Greek name "Γρηγόριος" (Grēgórios) meaning "watchful, alert" (derived from Greek "γρηγoρεῖν" "grēgorein" meaning "to watch"). This traditional meaning may be disputed, however, as modern dictionaries translate Γρήγορε (Gregore) as “swift, quick,” while “watchful, alert” are translated as “προσεκτικός” or “άγρυπνος.” Through folk etymology, the name also became associated with Latin ''grex'' (stem ''greg–'') meaning "flock" or "herd". This association with a shepherd who diligently guides his flock contributed to the name's popularity among monks and popes. Sixteen Pope Gregory (other), popes and two antipopes have used the name Gregorius, starting with Pope Gregory I (Gregory the Great). It is tied with Benedict as the second-most popular name for popes, after Pope John (other), John. Alt ...
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Lidiia Hryhorchuk
Lidiia Mikhailovna Hryhorchuk ( uk, Григорчук Лідія Михайлівна; 24 November 1926 – 14 January 2018) was a Ukrainian linguist, linguogeographer, dialectologist, paleographer, art critic, professor and a doctor of philology. She was a junior researcher at the Institute of Ukrainian Studies of the National Academy of Sciences of Ukraine from 1956 to 1972 before becoming a senior researcher between 1999 and 2002. Hryhorchuk was a professor of philology at the University of Lviv, her alma mater, and at the Lviv National Academy of Arts. She was elected to the Shevchenko Scientific Society in 1992 and was appointed a Laureate of the State Prize of Ukraine in Science and Technology in 2006. Biography On 24 November 1926, Hryhorchuk was born in Lviv. She was a 1949 law graduate of the University of Lviv. In 1950, Hryhorchuk was illegally imprisoned in the camps of Tayshet in the Irkutsk Oblast and later in Mordovia. She was successfully rehabilitated in 1956. ...
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Roman Hryhorchuk
Roman Yosypovych Hryhorchuk ( uk, Роман Йосипович Григорчук; born 22 March 1965) is a Ukrainian football manager who is the head coach of Chornomorets Odesa and a former player. Playing career He started playing with Lysonia Berezhany and then Temp Shepetivka. He established himself as a striker while playing for Prykarpattya Ivano-Frankivsk while in the Ukrainian First League where he consistently was among the top-scorers of the League. He spent some time in foreign clubs in Austria, Poland and Russia. Coaching career In his coaching career, he was a successful manager in Latvia with FK Ventspils winning the Latvian championship three times from 2006 to 2008 as well as the Latvian Cup in 2005 and 2007. During the 2009–10 Ukrainian Premier League season, Hryhorchuk was hired by Metalurh Zaporizhzhia. He stayed in that position only until the end of the season, though. On 16 November 2010, Hryhorchuk was appointed as the manager of Chornomorets Ode ...
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Rostislav Grigorchuk
Rostislav Ivanovich Grigorchuk ( ua, Ростисла́в Iва́нович Григорчу́к; b. February 23, 1953) is a mathematician working in different areas of mathematics including group theory, dynamical systems, geometry and computer science. He holds the rank of Distinguished Professor in the Mathematics Department of Texas A&M University. Grigorchuk is particularly well known for having constructed, in a 1984 paper, the first example of a finitely generated group of intermediate growth, thus answering an important problem posed by John Milnor in 1968. This group is now known as the Grigorchuk groupPierre de la Harpe. ''Topics in geometric group theory.'' Chicago Lectures in Mathematics. University of Chicago Press, Chicago. and it is one of the important objects studied in geometric group theory, particularly in the study of branch groups, automaton groups and iterated monodromy groups. Grigorchuk is one of the pioneers of asymptotic group theory as well as of the ...
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Grigorchuk Group
In the mathematical area of group theory, the Grigorchuk group or the first Grigorchuk group is a finitely generated group constructed by Rostislav Grigorchuk that provided the first example of a finitely generated group of intermediate (that is, faster than polynomial but slower than exponential) growth. The group was originally constructed by Grigorchuk in a 1980 paper and he then proved in a 1984 paper that this group has intermediate growth, thus providing an answer to an important open problem posed by John Milnor in 1968. The Grigorchuk group remains a key object of study in geometric group theory, particularly in the study of the so-called branch groups and automata groups, and it has important connections with the theory of iterated monodromy groups.Volodymyr Nekrashevych''Self-similar groups.''Mathematical Surveys and Monographs, 117. American Mathematical Society, Providence, RI, 2005. . History and significance The growth of a finitely generated group measures the asympto ...
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