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

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 Boolean algebra ( A, ∧, ∨) gives rise to a ring ( A, +, ·) by defining a + b := ( a ∧ ¬ b ) ∨ ( b ∧ ¬ a ) = ( a ∨ b ) ∧ ¬( a ∧ b ) ( this operation is called symmetric difference in the case of sets and XOR in the case of logic ) and a · b := a ∧ b. The zero element of this ring coincides with the 0 of the Boolean algebra ; the multiplicative identity element of the ring is the 1 of the Boolean algebra.

Every LORAN chain in the world uses a unique Group Repetition Interval, the number of which, when multiplied by ten, gives how many microseconds pass between pulses from a given station in the chain.

Every year, the International Documentary Festival in Amsterdam ( IDFA ) gives an acclaimed filmmaker the chance to screen his or her personal Top 10 favorite films.

* Every finite topological space gives rise to a preorder on its points, in which x ≤ y if and only if x belongs to every neighborhood of y, and every finite preorder can be formed as the specialization preorder of a topological space in this way.

Every thing depends upon the evil of the second order ; it is this which gives to such actions the character of crime, and which makes punishment necessary.

Every random vector gives rise to a probability measure on R < sup > n </ sup > with the Borel algebra as the underlying sigma-algebra.

Every adjunction 〈 F, G, ε, η 〉 gives rise to an associated monad 〈 T, η, μ 〉 in the category D. The functor

Every ticket is provided with a bar code that gives information about the time the visitor stepped into the museum.

Every coalgebra, by ( vector space ) duality, gives rise to an algebra, but not in general the other way.

Every broadcasting company has members and the number of members gives them a status that is connected to the number of hours of broadcasting.

The WBC launched a website called Priests Rape Boys in which they criticize the Roman Catholic Church because of the Catholic sex abuse scandal, saying, " Every time any person gives any amount of money to the Catholic Church, that person is paying the salary of pedophile rapists.

Every year, the magazine gives out its Utne Independent Press Awards, which honor alternative and independent magazines from around the world.

This flat may be identified with the partition of the vertices of into the connected components of the subgraph formed by: Every set of edges having the same closure as gives rise to the same partition of the vertices, and may be recovered from the partition of the vertices, as it consists of the edges whose endpoints both belong to the same set in the partition.

Every sequence of A, B, and C without immediate repetition of the same one is possible and gives an equally dense packing for spheres of a given radius.

Every year the American Society of Architectural Illustrators gives out the Hugh Ferriss Memorial Prize for architectural rendering excellence.

Every door, whether it leads to nothing or a level boss, gives the player a question mark ('?

Every hearts gotten gives the player-5 points.

Every trick taken gives a player 10 points.

Every year, the IDFA, International Documentary Festival in Amsterdam, gives an acclaimed filmmaker the chance to screen his or her personal Top 10 favorite films.

Every year, she gives a speech to cadets from throughout Civil Air Patrol at the National Honor Guard Academy and also to a gathered assembly of basic cadets and staff at the Civil Air Patrol's Tri-Wing Encampment, held by Maryland Wing.

Every episode gives credits to James Burrows, Glen Charles and Les Charles, the creators of Cheers, the show where the character of Dr. Frasier Crane originated.

Every evening, she gives another twelve-minute address.

Every year the Museum gives " The Wrangler ", an original bronze sculpture by artist John Free.

Every year, Gourmand gives the awards in a very special location for gastronomy.