of category theory and abstract algebra, a subquotient is a quotient object of a subobject. Subquotients are particularly important in abelian categories...

The monster group contains 20 sporadic groups (including itself) as subquotients. Robert Griess, who proved the existence of the monster in 1982, has...

the sporadic groups, and all but six of the other sporadic groups are subquotients of it. Five of the sporadic groups were discovered by Émile Mathieu in...

groups. In particular, the Leech lattice is obtained in a simple way as a subquotient. 26 is the smallest number that is both a nontotient and a noncototient...

sporadic groups is made up of twenty finite simple groups that are all subquotients of the friendly giant, the largest of twenty-six sporadic groups. An...

This diagram shows the subquotient relations of the twenty-six sporadic groups; the five Mathieu groups form the simplest class (colored red )....

sporadic simple groups which are not subquotients of the monster group. The twenty groups which are subquotients, including the monster group itself,...

group: five first generation Mathieu groups, seven second generation subquotients of the Leech lattice, and eight third generation subgroups of the friendly...

\mathbb {C} )} depend on a pair of integers p and q and are realized as a subquotient of the space of complex differential forms of degree (p,q). Let Ωp,q...

nineteen of twenty-six such groups are subquotients of the Friendly Giant, which is also its own subquotient. If the Tits group is indeed included as...

Conway group Co0. J2 is the only one of the 4 Janko groups that is a subquotient of the monster group; it is thus part of what Robert Griess calls the...

terminal object is called a subterminal object. Subobject classifier Subquotient Mac Lane, p. 126 Mac Lane, Saunders (1998), Categories for the Working...

the space of sections. Representations arising in this way (and their subquotients) are called covariant field representations, and are not usually unitary...

PO(n) as quotient, and the projective special orthogonal group PSO(n) as subquotient, the unitary group U(n) has associated to it the special unitary group...

monster. Remarks: Contains all but 6 of the other sporadic groups as subquotients. Related to monstrous moonshine. The monster is the automorphism group...

Serre subcategory. C is a topologizing subcategory if it is closed under subquotients. C is a Serre subcategory if, for all short exact sequences 0 → M ′ →...

37 and 67 are not supersingular primes, the Lyons group cannot be a subquotient of the monster group. Thus it is one of the 6 sporadic groups called...

decomposed the coefficients of McKay-Thompson series into representations of subquotients of the Monster in the following cases: T2B and T4A into representations...

quintessential, quintic, quintile, quintipara, quintus, semiquintile quot- how many, how great Latin quotiens aliquot, quota, quote, quoth, quotient, subquotient...

for the structure of the moduli space of two skyrmions as a certain subquotient of complex projective 3-space. Several papers were inspired by a question...

trivial. Since 37 and 43 are not supersingular primes, J4 cannot be a subquotient of the monster group. Thus it is one of the 6 sporadic groups called...

automorphism group is trivial. In 1982 Robert Griess showed that Ru cannot be a subquotient of the monster group. Thus it is one of the 6 sporadic groups called...

automorphism group has order 2. (Griess 1982:94) showed that O'N cannot be a subquotient of the monster group. Thus it is one of the 6 sporadic groups called...

terms of the more general notion X {\displaystyle X} may be called a subquotient of N {\displaystyle {\mathbb {N} }} . Important cases are those where...

semistable locally free E on X admits a Jordan-Hölder filtration with stable subquotients, i.e. 0 = E 0 ⊆ E 1 ⊆ … ⊆ E n = E {\displaystyle 0=E_{0}\subseteq E_{1}\subseteq...

PSL3(3) In other words a non-cyclic finite simple group must have a subquotient isomorphic to one of these groups. Gorenstein, D.; Lyons, Richard (1976)...

of 26 exceptions, the sporadic groups, of which 20 are subgroups or subquotients of the monster group and are referred to as the "Happy Family", while...

finite vector bundles. A vector bundle is essentially finite if it is a subquotient of a finite vector bundle in the category of Nori-semistable vector bundles...

elements are called central charges. Q is an abelian fermionic spinor subquotient algebra, and is a sum of N real spinor representations of L. (When the...

in abstract algebra carry over to this setting: submodule, quotient, subquotient, direct sum, Jordan-Hölder series, etc. A simple but useful tool in studying...