of category theory and abstract algebra, a subquotient is a quotient object of a subobject. Subquotients are particularly important in abelian categories...
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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...
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Monster group (section Subquotients)
The monster group contains 20 sporadic groups (including itself) as subquotients. Robert Griess, who proved the existence of the monster in 1982, has...
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sporadic simple groups which are not subquotients of the monster group. The twenty groups which are subquotients, including the monster group itself,...
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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...
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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...
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quintessence, quintessential, quintic, quintile, quintipara, quintus, semiquintile quot- how many, how great Latin quotiens quota, quotient, subquotient...
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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...
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\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...
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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...
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group: five first generation Mathieu groups, seven second generation subquotients of the Leech lattice, and eight third generation subgroups of the friendly...
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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...
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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...
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the space of sections. Representations arising in this way (and their subquotients) are called covariant field representations, and are not usually unitary...
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\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...
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terminal object is called a subterminal object. Subobject classifier Subquotient Mac Lane, p. 126 Mac Lane, Saunders (1998), Categories for the Working...
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decomposed the coefficients of McKay-Thompson series into representations of subquotients of the Monster in the following cases: T2B and T4A into representations...
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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...
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monster. Remarks: Contains all but 6 of the other sporadic groups as subquotients. Related to monstrous moonshine. The monster is the automorphism group...
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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 ′ →...
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in abstract algebra carry over to this setting: submodule, quotient, subquotient, direct sum, Jordan-Hölder series, etc. A simple but useful tool in studying...
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these belong inside the small family of six pariah groups that are not subquotients of F 1 . {\displaystyle \mathrm {F_{1}} .} The largest supersingular...
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finite differential Galois groups, extensions by integrals correspond to subquotients of the differential Galois group that are 1-dimensional and unipotent...
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quintessence, quintessential, quintic, quintile, quintipara, quintus, semiquintile quot- how many, how great Latin quotiens quota, quotient, subquotient...
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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...
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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...
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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...
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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...
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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...
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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...
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