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* Every group G acts on G, i. e. in two natural but essentially different ways:, or.

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## Some Related Sentences

Every and group

Group actions / representations

**:**__Every____group__**G**can be considered as a category with a single object whose morphisms are the elements of**G****.**A functor from**G**to Set is then nothing**but**a__group__action of**G****on**a particular set**,****i****.****e****.**a G-set**.**__Every__galaxy of sufficient mass

**in**the Local Group has an associated

__group__of globular clusters

**,**and almost every large galaxy surveyed has been found to possess a system of globular clusters

**.**

*****

__Every__Lie

__group__is parallelizable

**,**and hence an orientable manifold ( there is a bundle isomorphism between its tangent bundle and the product of itself with the tangent space at the identity )

__Every__instrumental

__group__(

**or**section ) has a principal who is generally responsible for leading the

__group__and playing orchestral solos

**.**

*****

__Every__closed subgroup of a profinite

__group__is itself profinite ; the topology arising from the profiniteness agrees with the subspace topology

**.**

While he admits the existence of caste-based discrimination

**,**he writes that "__Every__social__group__cannot be regarded as a race simply because we want to protect it against prejudice and discrimination ".__Every__summer the

__group__gathers

**in**Newport

**,**RI for week long dance training

**,**seaside teas

**,**and evenings enjoying the splendors of the Gilded Age

**.**

*****

__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__synset contains a

__group__of synonymous words

**or**collocations ( a collocation is a sequence of words that go together to form a specific meaning

**,**such as " car pool ");

**different**senses of a word are

**in**

**different**synsets

**.**

__Every__

__group__can be trivially made into a topological

__group__by considering it with the discrete topology ; such groups are called discrete groups

**.**

__Every__topological

__group__can be viewed as a uniform space

**in**

**two**

**ways**; the left uniformity turns all left multiplications into uniformly continuous maps while the right uniformity turns all right multiplications into uniformly continuous maps

**.**

__Every__subgroup of a topological

__group__is itself a topological

__group__when given the subspace topology

**.**

__Every__ten years

**,**when the general census of population takes place

**,**each citizen has to declare which linguistic

__group__they belong

**or**want to be aggregated to

**.**

Every and G

__Every__homomorphism f

**:**

__G__→ H of Lie groups induces a homomorphism between the corresponding Lie algebras and

**.**

__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__connected graph

__G__admits a spanning tree

**,**which is a tree that contains every vertex of

__G__and whose edges are edges of

__G__

**.**

__Every__adjunction 〈 F

**,**

__G__

**,**ε

**,**η 〉 gives rise to an associated monad 〈 T

**,**η

**,**μ 〉

**in**the category D

**.**The functor

__Every__inner automorphism is indeed an automorphism of the

**group**

__G__

**,**

**i**

**.**

**e**

**.**it is a bijective map from

__G__to

__G__and it is a homomorphism ; meaning ( xy )< sup > a </ sup >

__Every__non-inner automorphism yields a non-trivial element of Out (

__G__),

**but**

**different**non-inner automorphisms may yield the same element of Out (

__G__).

__Every__one of the infinitely many vertices of

__G__can be reached from v < sub > 1 </ sub > with a simple path

**,**and each such path must start with one of the finitely many vertices adjacent to v < sub > 1 </ sub >.

__Every__smooth function

__G__over the symplectic manifold generates a one-parameter family of symplectomorphisms and if

__Every__year at the International Astronautical Congress

**,**three prestigious awards are given out

**:**the Allan D

**.**Emil Memorial Award

**,**the Franck J

**.**Malina Astronautics Medal and the Luigi

__G__

**.**Napolitano Award

**.**

__Every__such regular cover is a principal G-bundle

**,**where

__G__= Aut ( p ) is considered as a discrete topological

**group**

**.**

*****

__Every__Polish space is homeomorphic to a

__G__< sub > δ </ sub > subspace of the Hilbert cube

**,**and every

__G__< sub > δ </ sub > subspace of the Hilbert cube is Polish

**.**

Every and acts

__Every__quark

**in**the universe does not attract every other quark

**in**the above distance independent manner

**,**since colour-confinement implies that the strong force

__acts__without distance-diminishment only between pairs of single quarks

**,**and that

**in**collections of bound quarks (

**i**

**.**

**e**., hadrons ), the net colour-charge of the quarks cancels out

**,**as seen from far away

**.**

__Every__colour holds within it a soul

**,**which makes me happy

**or**repels me

**,**and which

__acts__as a stimulus

**.**

__Every__second weekend

**in**September

**,**Louisa hosts the regional Septemberfest that features several local and national

__acts__performing for three days

**,**as well as the huge arts and crafts section

**on**the northwestern side of town and the many food vendors featuring Southeastern cuisine

**.**

__Every__node

**in**an anonymous P2P network

__acts__as a universal sender and universal receiver to maintain anonymity

**.**

__Every__software development methodology approach

__acts__as a basis for applying specific frameworks to develop and maintain software

**.**

__Every__February

**,**Dawson City

__acts__as the halfway mark for the Yukon Quest International Sled Dog Race

**.**

__Every__deputy enjoyed the freedom of expression at the Assembly and has immunity for the words uttered and for other

__acts__he performed

**in**his capacity as deputy

**.**

__Every__detail of these patterns

__acts__as a consistent portal to a

**different**kingdom inside the plane

**,**which itself comprises many separate realms

**.**

__Every__symmetric

**group**has a one-dimensional representation called the trivial representation

**,**where every element

__acts__as the one by one identity matrix

**.**

**:**Section 647

**:**

__Every__person who commits any of the following

__acts__is guilty of disorderly conduct

**,**a misdemeanor

Their first UK successful single

**,**" Each and__Every__One ", had a jazzy sound**,**and EBTG was considered part of the jazz / popular music style known as " sophisti-pop ", that included other British__acts__like Swing Out Sister**,**Sade**,**Matt Bianco**,**and The Style Council**,****on**whose Café Bleu album they guested**.**__Every__detail of these patterns

__acts__as a consistent portal to a

**different**kingdom inside the plane

**,**which itself comprises many separate realms

**.**

*****

__Every__member of the organization performs the

__acts__we assume to constitute an expression of preference among the scheduled alternatives

**,**

**e**

**.**g., voting

**.**

Several of Holloway's classic recordings

**,**including "__Every__Little Bit Hurts ", " When I'm Gone " and " You've Made Me So Very Happy " were covered by a variety of__acts__over the years**.**__Every__state besides Alaska and Georgia have their own state athletic training association that

__acts__similar to the district associations as they have their own board members

**.**

__Every__July the Queen Elizabeth Country Park also

__acts__as the start point for Oxfam's biggest annual fundraising event

**,**Trailwalker UK

__Every__seat of the High Court of South Africa is served by a Director of Public Prosecutions ( a " DPP "), who

__acts__as the prosecution authority for such Court's jurisdictional area

**.**

__Every__Monday

**,**the show ran down the Welsh Top 40 singles

**,**since Welsh

__acts__such as Stereophonics

**,**Funeral for a Friend and Feeder usually do far better

**in**their home country chart

**,**as opposed to the UK equivalent

**.**

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