Student musical organizations are the Knights of Carleton and the Overtones ( men's vocal groups ), and the Keynotes ( a women's singing group ).

In order to attain the goal of group solidarity and to relieve tension, the high fertility rate provides more group members for mate selection, and the clustering of members in groups fosters acceptance of group controls.

This group pleads with the administration to `` give no further support for the invasion of Cuba by exile groups ''.

Direct reciprocity and cooperation in a group can be increased by changing the focus and incentives from intra-group competition to larger scale competitions such as between groups or against the general population.

It has controversially been argued by some evolutionary scientists such as E. O. Wilson that natural selection can act at the level of non-kin groups to produce adaptations that benefit a non-kin group even if these adaptions are detrimental at the individual level.

Thus, while altruistic persons may under some circumstances be outcompeted by less altruistic persons at the individual level, according to group selection theory the opposite may occur at the group level where groups consisting of the more altruistic persons may outcompete groups consisting of the less altruistic persons.

How altruism is framed, organized, carried out, and what motivates it at the group level is an area of focus that sociologists seek to investigate in order to contribute back to the groups it studies and " build the good society ".

Karma is categorized within the group or groups of cause ( Pāli hetu ) in the chain of cause and effect, where it comprises the elements of " volitional activities " ( Pali sankhara ) and " action " ( Pali bhava ).

The leader is only a spokesperson for the group when it has to deal with other groups (" international relations ") but has no inside authority, and may be violently removed if he attempts to abuse this position.

Compound comparisons typically compare two sets of groups means where one set has two or more groups ( e. g., compare average group means of group A, B and C with group D ).

For example, in some groups, the group operation is commutative, and this can be asserted with the introduction of an additional axiom, but without this axiom we can do quite well developing ( the more general ) group theory, and we can even take its negation as an axiom for the study of non-commutative groups.

In the case of groups, the inner automorphisms are the conjugations by the elements of the group itself.

In the case of groups, the morphisms are the group homomorphisms.

The study of group homomorphisms then provides a tool for studying general properties of groups and consequences of the group axioms.

Namely φ is universal for homomorphisms from G to an abelian group H: for any abelian group H and homomorphism of groups f: G → H there exists a unique homomorphism F: G < sup > ab </ sup > → H such that.

Functions get mapped to group homomorphisms between free groups.

Homomorphism groups: To every pair A, B of abelian groups one can assign the abelian group Hom ( A, B ) consisting of all group homomorphisms from A to B.

This is a functor which is contravariant in the first and covariant in the second argument, i. e. it is a functor Ab < sup > op </ sup > × Ab → Ab ( where Ab denotes the category of abelian groups with group homomorphisms ).

Much of the importance of quotient groups is derived from their relation to homomorphisms.

We start with the definition of an inverse ( or projective ) system of groups and homomorphisms.

Let ( A < sub > i </ sub >)< sub > i ∈ I </ sub > be a family of groups and suppose we have a family of homomorphisms f < sub > ij </ sub >: A < sub > j </ sub > → A < sub > i </ sub > for all i ≤ j ( note the order ) with the following properties:

) The composition of two such homomorphisms is again a homomorphism, and the class of all Lie groups, together with these morphisms, forms a category.

Given an arbitrary group G, there is a related profinite group G < sup >^</ sup >, the profinite completion of G. It is defined as the inverse limit of the groups G / N, where N runs through the normal subgroups in G of finite index ( these normal subgroups are partially ordered by inclusion, which translates into an inverse system of natural homomorphisms between the quotients ).

Many other categories ( such as the category of groups, with group homomorphisms as arrows ) add structure to the objects of the category of sets and / or restrict the arrows to functions of a particular kind.

Fundamental groups and homology and cohomology groups are not only invariants of the underlying topological space, in the sense that two topological spaces which are homeomorphic have the same associated groups, but their associated morphisms also correspond — a continuous mapping of spaces induces a group homomorphism on the associated groups, and these homomorphisms can be used to show non-existence ( or, much more deeply, existence ) of mappings.

Topological groups, together with their homomorphisms, form a category.

Consider the category Grp of all groups with group homomorphisms as morphisms.

Consider the category Ab of abelian groups and group homomorphisms.

" Just as the study of groups is not complete without a study of homomorphisms, so the study of categories is not complete without the study of functors.

The class of all groups with group homomorphisms as morphisms and function composition as the composition operation forms a large category, Grp.

The category Ab, consisting of all abelian groups and their group homomorphisms, is a full subcategory of Grp, and the prototype of an abelian category.

For example, in the category Div of divisible ( abelian ) groups and group homomorphisms between them there are monomorphisms that are not injective: consider, for example, the quotient map q: Q → Q / Z, where Q is the rationals under addition, Z the integers ( also considered a group under addition ), and Q / Z is the corresponding quotient group.

** Category of abelian groups Ab has abelian groups as objects and group homomorphisms as morphisms

To him, law is the command of the sovereign ( the English monarch ) who personifies the power of the nation, while sovereignty is the power to make law -- i.e., to prevail over internal groups and to be free from the commands of other sovereigns in other nations.

To perpetuate wealth control led by small groups of individuals who played no role in its creation prevents those with real initiative from coming to the fore, and is basically anti-democratic.

The liberal-conservative division, we might observe in passing, is not of itself directly involved in a private interest conflict nor even in struggle between ruling groups.

It is a fact of life that magazines are edited by groups: they have to be or they wouldn't be published at all.

The lack of scientific unanimity on the effects of radiation is due in part to insufficient data covering large population groups, from which agreed-on generalizations could be drawn.

A president is frequently besieged to serve in non-academic civic and governmental capacities, to make speeches to lay groups, and to make numerous ceremonial appearances on and off campus.

Ordinary politeness may have militated against this opinion being stated so badly but anyone with a wide acquaintance in both groups and who has sat through the many round tables, workshops or panel discussions -- whatever they are called -- on this subject will recognize that the final, boiled down crux of the matter is education.

This meeting was called to determine how these groups might cooperate to launch what is known as the Outdoor Education Project.

Third, the process of calcification is seen to begin later and to continue much longer for these boys than for the girls, a fact which confirms data for other groups of children.

We should encourage the governments to develop their own technical assistance to communities, state and provincial governments, rural communities, and other smaller groups, making certain that no important segment of the economy is neglected.

Thus it is reasonable to believe that there is a significant difference between the two groups in their performance on this task after a brief `` structuring '' experience.

A t test on these two groups, shifters vs. nonshifters, gave a `` t '' value of 2.405 which is significant on the two-tail test at the

But there is also a firm aspect to lexicostatistics: the aspect of learning the internal organization of obvious natural genetic groups of languages as well as their more remote and elusive external links ; ;

What they should recognize is that children who have been placed in one of these groups on a narrow academic basis still differ widely in attributes that influence success, and that they still must be treated as individuals.

In this case it is primarily a matter of conflict of racial groups rather than social-class groups.

Part 1, deals with the classification of crystalline substances by space groups and is not a numerical data compilation.

The statement also points to a classic paradox: The more men turn toward God, who is not only in himself the paradigm of all unity but also the only ground on which human unity can ultimately be established, the more men splinter into groups and set themselves apart from one another.

Music rap, relatively recent style in Algeria, is experiencing significant growth with the emergence of groups such as MBS, Double Barrel, Intik Hamma Boys.

Ethnoarchaeology is a type of archaeology that studies the practices and material remains of living human groups in order to gain a better understanding of the evidence left behind by past human groups, who are presumed to have lived in similar ways.