groups, an essential subgroup is a subgroup that determines much of the structure of its containing group. The concept was generalized to essential submodules...

The WHO Model List of Essential Medicines (aka Essential Medicines List or EML), published by the World Health Organization (WHO), contains the medications...

Further, every abelian group can be embedded in a divisible group as an essential subgroup in a unique way. An abelian group is divisible if and only if it is...

and the essential uniqueness corresponds to the essential uniqueness of the inner product. A maximal compact subgroup is a maximal subgroup amongst compact...

The WHO Model List of Essential Medicines for Children (aka Essential Medicines List for Children or EMLc), published by the World Health Organization...

law for groups (as formulated above) that Q is a subgroup of S is essential. If Q is not a subgroup of S, then the tentative, more general distributive...

two subgroups is the subgroup generated by their union, and the meet of two subgroups is their intersection. The dihedral group Dih4 has ten subgroups, counting...

soc(G), is the subgroup generated by the minimal normal subgroups of G. It can happen that a group has no minimal non-trivial normal subgroup (that is, every...

algebraically, as a subgroup Z × Z {\displaystyle \mathbb {Z} \times \mathbb {Z} } of its fundamental group that is not conjugate to a peripheral subgroup (i.e., the...

theorem states that every group G {\displaystyle G} is isomorphic to a subgroup of the symmetric group on (the underlying set of) G {\displaystyle G} ...

modular group if its lattice of subgroups is modular. Alternatively, a group G is called an Iwasawa group when every subgroup of G is permutable in G (Ballester-Bolinches...

group is a discrete subgroup with the property that the quotient space has finite invariant measure. In the special case of subgroups of Rn, this amounts...

Zoologists sometimes use additional terms such as species group, species subgroup, species complex and superspecies for convenience as extra, but unofficial...

associated objects, by showing how they are built up out of subgroups. They are essential technical tools in the representation theory of Lie groups and...

element the trace of the corresponding matrix. The character carries the essential information about the representation in a more condensed form. Georg Frobenius...

Anglican Essentials Canada is a Christian group of Anglicans who share a common commitment to "faithful biblical orthodoxy," often broadly meaning an opposition...

systems derived from gonane are called steroids. Therefore, sterols are a subgroup of the steroids. They occur naturally in most eukaryotes, including plants...

retracts of Schreier graphs of free groups, and are an essential tool for computing with subgroups of a free group. Every vertex-transitive graph is a coset...

is likely to be seen in other populations (although further studies and subgroup analyses of existing studies are needed) It is widely used in chronic kidney...

synthetase) bind to PBPs, which are essential for bacterial cell wall synthesis. PBPs are members of a subgroup of transpeptidase enzymes called DD-transpeptidases...

In mathematics, a linear algebraic group is a subgroup of the group of invertible n × n {\displaystyle n\times n} matrices (under matrix multiplication)...

G is the symmetric group Sn; in general, any permutation group G is a subgroup of the symmetric group of X. An early construction due to Cayley exhibited...

across the nation. The New York Times asserted that "[Trump] made one essential bet: that his grievances would become the grievances of the MAGA movement...

admitting an essential isometric action on a CAT(0)-cubing where a subgroup commensurable with H {\displaystyle H} stabilizes an essential "hyperplane"...

largest smooth connected unipotent normal subgroup of G {\displaystyle G} is trivial. This normal subgroup is called the unipotent radical and is denoted...

percent Christian and 1% Muslim. Taiwanese aborigines comprise a notable subgroup among professing Christians. There has been a small Muslim community of...

rotations, including inversion points. The translations form a normal abelian subgroup of rank 3, called the Bravais lattice (so named after French physicist...

multiplication, forms the group O(n), known as the orthogonal group. The subgroup SO(n) consisting of orthogonal matrices with determinant +1 is called the...

various clans, subgroups and languages: Ogbia subgroup: This subgroup is native to the Ogbia people of Bayelsa State. The Ogbia subgroup has four clans...

by the endonym of another subgroup. The only name approaching an all-encompassing self-description is Rom. Even when subgroups do not use the name, they...