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

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...

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

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

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. The...

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

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...

\cong \mathbb {R} ^{2}} plus an additional point, and the third is a subquotient of C 2 . {\displaystyle \mathbb {C} ^{2}.} In the context of category...

the square of another integer, the fifth pentatope number (70). The subquotients of the automorphism of the Leech lattice, Conway group C o 0 {\displaystyle...

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...

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

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...

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

\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...

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

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

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...

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 ′ →...

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

these belong inside the small family of six pariah groups that are not subquotients of F 1 . {\displaystyle \mathrm {F_{1}} .} The largest supersingular...

finite differential Galois groups, extensions by integrals correspond to subquotients of the differential Galois group that are 1-dimensional and unipotent...

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...

homology, that is the ( r + 1 ) t h {\displaystyle (r+1)^{th}} page is a subquotient of the r t h {\displaystyle r^{th}} page. The total degree n = p + q...

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...

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

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...

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...

be critical if it is not in the variety generated by all its proper subquotients, which includes all its subgroups and all its quotients. Any finite monolithic...