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Page "Wari’ people" ¶ 18
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Every and subgroup
* Every closed subgroup of a profinite group is itself profinite ; the topology arising from the profiniteness agrees with the subspace topology.
* Every finitely generated group with a recursively enumerable presentation and insoluble word problem is a subgroup of a finitely presented group with insoluble word problem
Every subgroup of a topological group is itself a topological group when given the subspace topology.
Every open subgroup H is also closed, since the complement of H is the open set given by the union of open sets gH for g in G
Every subgroup of a free abelian group is itself free abelian, which is important for the description of a general abelian group as a cokernel of a homomorphism between free abelian groups.
Every group of prime order is cyclic, since Lagrange's theorem implies that the cyclic subgroup generated by
Iwasawa worked with so-called-extensions: infinite extensions of a number field with Galois group isomorphic to the additive group of p-adic integers for some prime p. Every closed subgroup of is of the form, so by Galois theory, a-extension is the same thing as a tower of fields such that.
* Every subgroup and quotient group of a locally cyclic group is locally cyclic.
* Every triangle group T is a discrete subgroup of the isometry group of the sphere ( when T is finite ), the Euclidean plane ( when T has a Z + Z subgroup of finite index ), or the hyperbolic plane.
Every compact Lie group G of dimension > 0 has a subgroup isomorphic to the circle group.
* Every ( closed ) subgroup of an amenable goup is amenable.
Recall that a subsemigroup G of a semigroup S is a subgroup of S ( also called sometimes a group in S ) if there exists an idempotent e such that G is a group with identity element e. A semigroup S is group-bound if some power of each element of S lies in some subgroup of S. Every finite semigroup is group-bound, but a group-bound semigroup might be infinite.
Every finite group is a subgroup of the mapping class group of a closed, orientable surface, moreover one can realize any finite group as the group of isometries of some compact Riemann surface.
Every proper subgroup of G can be assumed a solvable group, meaning that much theory of such subgroups could be applied.
Every closed subgroup of a locally compact group is locally compact.
Every quasinormal subgroup is a modular subgroup, that is, a modular element in the lattice of subgroups.
Every quasinormal subgroup is conjugate permutable.
Every normal subgroup is quasinormal, because, in fact, a normal subgroup commutes
Every group has itself ( the improper subgroup ) and the trivial subgroup as two of its fully characteristic subgroups.

Every and is
Every legislator from Brasstown Bald to Folkston is going to have his every vote subjected to the closest scrutiny as a test of his political allegiances, not his convictions.
Every detail in his interpretation has been beautifully thought out, and of these I would especially cite the delicious laendler touch the pianist brings to the fifth variation ( an obvious indication that he is playing with Viennese musicians ), and the gossamer shading throughout.
Every taxpayer is well aware of the vast size of our annual defense budget and most of our readers also realize that a large portion of these expenditures go for military electronics.
Every single problem touched on thus far is related to good marketing planning.
Every few days, in the early morning, as the work progressed, twenty men would appear to push it ahead and to shift the plank foundation that distributed its weight widely on the Rotunda pavement, supported as it is by ancient brick vaulting.
Every dream, and this is true of a mental image of any type even though it may be readily interpreted into its equivalent of wakeful thought, is a psychic phenomenon for which no explanation is available.
Every man in every one of these houses is a Night Rider.
Every library borrower, or at least those whose taste goes beyond the five-cent fiction rentals, knows what it is to hear the librarian say apologetically, `` I'm sorry, but we don't have that book.
Every community, if it is alive has a spirit, and that spirit is the center of its unity and identity.
The restricted principle " Every partially ordered set has a maximal totally ordered subset " is also equivalent to AC over ZF.
** Every infinite game in which is a Borel subset of Baire space is determined.
Every natural-born citizen of a foreign state who is also an American citizen and every natural-born American citizen who is a citizen of a foreign land owes a double allegiance, one to the United States, and one to his homeland ( in the event of an immigrant becoming a citizen of the US ), or to his adopted land ( in the event of an emigrant natural born citizen of the US becoming a citizen of another nation ).
Every line of written text is a mere reflection of references from any of a multitude of traditions, or, as Barthes puts it, " the text is a tissue of quotations drawn from the innumerable centres of culture "; it is never original.
Every root of a polynomial equation whose coefficients are algebraic numbers is again algebraic.
* Every rectangle R is in M. If the rectangle has length h and breadth k then a ( R ) =
Every year, on the last Sunday in April, there is an ice fishing competition in the frozen estuarine waters of the Anadyr River's mouth.
Every lattice element of the structure is in its proper place, whether it is a single atom or a molecular grouping.

Every and organized
Every year in the Kingdom of Dahomey, a huge festival in honor of the ancestors was organized called the annual " customs ".
Every third Saturday of August, a comics event, called the Kamper Stripspektakel, is organized with over 100 booths.
Every year, the International Famagusta Art and Culture Festival is organized in Famagusta.
Every battalion will also include some sort of combat service support, typically organized within a combat support company.
Every chapter contains a comprehensive compilation all of the published examples of the reaction organized in tables according to the structure of the starting material.
Every man being organized in a particular way has, of necessity, an aim, the fulfilment of which is good ; and he has faculties for accomplishing it, directed by reason.
Every class can carry a primary and secondary weapon, which are organized into " kits ".
Every Sunday a privately organized educational tour is conducted in East Hastings
Every attempt upon the part of individuals, or of organized societies, to lead the people away from their government, to induce them to violate any of the provisions of the constitution, or to incite insurrections in any of the States of this Union, ought to be prohibited by law as crimes of a treasonable nature.
Every summer, many top-grade university students and high-school students participate in numerous science projects organized by Deep River Science Academy in cooperation with many of the knowledge-economy enterprises of the area.
Every year, in October, is organized the Expo Amambay of industry, commerce and services.
Every summer in the culture center of Struga-summer open scene, it is organized cinemania and alter music festival ' Come, Row ' ( ) including rock, metal, electro, hip hop, r ' n b and many more groups from around the country.
Every year from 1847 until 1869, church members making this journey were formed into organized companies.
Every August since 2005, BT has organized a " Viewer Appreciation Day ", held in the BT parking lot.
Every four year a congress is organized called the European Congress of Mathematics ( ECM ).
Every year, in his honour, Swami Haridas Sammelan is organized, in which all renowned musicians of India take part.
Throughout the mission, corruption and organized looting by ECOMOG troops led some Liberians to re-coin the acronym ECOMOG as " Every Car or Movable Object Gone.
Every year there is a spring-party organized by the MVA.
Every May 26 to May 30 of the year, the town plays host to the Viray Festival, organized by the local government with the support of the regional tourism office and the private sector.
Every second weekend in September, the so called „ carrot fun fair “ or „ carrot-bun fun fair “ ( mrkvancová pouť in Czech ) is organized in Polná.
Every year Funfair is organized on the occasion of religious festival of Basant Panchami.
Every year during the festival a camp for visitors is organized on the foothills of Motovun, where anybody can put up their tent almost for free ( the daily fee of 5 kn ( roughly 1 USD ) is paid to the local tourist office ).
Every three years, the World Youth Day has been organized by the Roman Catholic Church, during which the Pope summons youths from all over the world to a chosen city.
Every year a meeting of the Council Members of the TBCU is organized at one of the churches within the Union.

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