These groups have varied widely from mere families, primitive, totemic groups, and small modern cults and sects, to the memberships of great denominations, and great, widely dispersed world religions.

These incidents, typical of many others, dramatize the distressing fact that no controversy during the last several decades has caused more tension, rancor and strife among religious groups in this country than the birth-control issue.

These measures plus the improvement in Israel's relations with Egypt and Jordan, the renunciation of terrorism by the Palestine Liberation Organization, the on-going peace talks between the PLO and Israel, the collapse of the communist states in East Europe, which reduced the scope for sanctuaries for terrorists, and the more cautious attitude of countries such as Libya and Syria after the U. S. declared them State-sponsors of international terrorism, the collapse of ideological terrorist groups such as the Red Army Faction and the tightening of civil aviation security measures by all countries have arrested and reversed the steep upward movement of hijackings.

These form the following five taxonomic groups:

These groups did concerts all over the Netherlands.

These genetic factors are believed to, in part, explain the differing rates of alcohol dependence among racial groups.

These are generated by bond formation between one of the hydroxyl groups of the sugar chain with the carbon of the aldehyde or keto group to form a hemiacetal bond.

These heterodox groups held widely divergent opinions but were united by a critical attitude towards the established religion whose explanations they found unsatisfactory and whose animal sacrifices increasingly distasteful and irrelevant.

These were followed by groups of infantry ( dismounted cavalry ) commanded, respectively, by the Dauphin ( later Charles V of France ), the Duke of Orléans and King Jean.

These birds are generally solitary or found in pairs early in the year, but family groups are common in the late summer and winter roosts may have two dozen or more birds in a single covey.

These regions are also usually considered to be the historical geographical origin of Bambara people, particularly Segou, Sikasso, after diverging from other Manding groups.

These lightshows were for groups including The Gun and Quintessence at underground venues including The Roundhouse, Jim Haynes's Drury Lane Arts Lab, the Electric Cinema and Middle Earth.

These groups are sometimes classified under denominations, though for theological reasons many groups reject this classification system.

These continued to dominate throughout the period, but during late Carboniferous, several other groups, Cycadophyta ( cycads ), the Callistophytales ( another group of " seed ferns "), and the Voltziales ( related to and sometimes included under the conifers ), appeared.

These skills often assist in building political power through the formation of large social groups working for a common agenda.

These groups, along with other Christians opposed to capital punishment, have cited Christ's Sermon on the Mount ( transcribed in Matthew Chapter 5 – 7 ) and Sermon on the Plain ( transcribed in Luke 6: 17 – 49 ).

These groups included the Shakers, the Harmony Society and the Ephrata Cloister.

These can be particularly useful in the study of solvable groups and nilpotent groups.

These lawsuits involved groups of people either suing or being sued in actions at common law.

These groups were usually based on existing societal structures like villages, towns, parishes, and guilds.

These groups have been described as inferior, deprived of all political power, have a specific occupation, are hereditary and sometimes despised by others.

These groups were largely endogamous, exclusionary and with limited mobility.

These are more or less the groups of Lie type of odd characteristic of large rank, and alternating groups, together with some sporadic groups.

These correspond roughly to groups of Lie type of ranks 1 or 2 over fields of characteristic 2.

Note: These models refer to Lie algebras not to Lie groups.

* Linear algebraic groups ( or more generally affine group schemes ) — These are the analogues of Lie groups, but over more general fields than just R or C. Although linear algebraic groups have a classification that is very similar to that of Lie groups, and give rise to the same families of Lie algebras, their representations are rather different ( and much less well understood ).

These are not Lie groups as they are not finite dimensional manifolds

These are not Lie groups because their underlying spaces are not real manifolds.

These double-covers are Lie groups, called the spin groups.

These groups provide important examples of Lie groups.

These Poisson brackets can then be extended to Moyal brackets comporting to an inequivalent Lie algebra,

These are generators of a Lie group called the Poincaré group which is a semi-direct product of the group of translations and the Lorentz group.

These noncommutative algebras, and the non-associative Lie algebras, were studied within universal algebra before the subject was divided into particular mathematical structure types.

These exceptional groups were discovered around 1890 in the classification of the simple Lie algebras, over the complex numbers ( Wilhelm Killing, re-done by Élie Cartan ).

SU ( m / n ) These are the superunitary Lie algebras which have invariants:

These groups commute with each other, and therefore the infinitesimal generators do also ; the Lie bracket

These generalized spaces turn out to be homogeneous smooth manifolds diffeomorphic to the quotient space of a Lie group by a Lie subgroup.

These groups were named by analogy with the theory of tori in Lie group theory ( see maximal torus ).

These ideas are explored from many different points of view, such as someone contemplating suicide (" As I Lie Bleeding "), mourners after a funeral (" I'm Sorry ," a cover of Dilba Demirbag's hit ), and dying people's looking back on their " unforgivable " sins (" Unforgivable ").

These weights are the lattice points in an orthant Q < sub >+</ sub > in the weight lattice of the Lie group consisting of the dominant integral weights.

These three reps are all compatible if for pure elements a in A, | ψ > in H and L in the Lie superalgebra,

) These facts may be used to establish an isomorphism of Lie algebras