Every finite simple group is isomorphic to one of the following groups:

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 local group is required to have a seneschal who reports to the kingdom's seneschal.

Every local group is required to have one.

* Every topological group is completely regular.

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 group is naturally isomorphic to its opposite group "

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 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 〉 extends an equivalence of certain subcategories.

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 ).

Water for Every Farm: A practical irrigation plan for every Australian property, K. 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 reduced word is an alternating product of elements of G and elements of H, e. g.

* 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 reduction step acts only on the rightmost, newest parse fragments.

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 night there are 2 musical acts on the Binnenhof.

* Every citizen has the right to resistance against these acts of force.

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 man reaps the consequences of his own acts.

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.