In the area of modern algebra known as group theory, the Thompson group Th is a sporadic simple group of order    90,745,943,887,872,000 = 215 · 310 ·...

simple groups, there are a number of groups which do not fit into any infinite family. These are called the sporadic simple groups, or the sporadic finite...

term Thompson group or Thompson's group can refer to either The finite Thompson sporadic group Th studied by John G. Thompson The finite Thompson subgroup...

{\displaystyle E_{8}} , and is also contained in the Thompson sporadic group (the full automorphism group of this lattice) as a maximal subgroup. Huppert (1967...

called the groups of Lie type, or else it is one of twenty-six exceptions, called sporadic (the Tits group is sometimes regarded as a sporadic group because...

known as group theory, the monster group M (also known as the Fischer–Griess monster, or the friendly giant) is the largest sporadic simple group; it has...

the Thompson sporadic group, which acts on the underlying vector space of the Lie group E8 but does not preserve the Lie bracket. The Thompson group fixes...

algebra known as group theory, the Conway groups are the three sporadic simple groups Co1, Co2 and Co3 along with the related finite group Co0 introduced...

groups states that every finite simple group is cyclic, or alternating, or in one of 16 families of groups of Lie type, or one of 26 sporadic groups....

of irreducible representations of sporadic groups. In particular, she decomposed the coefficients of McKay-Thompson series into representations of subquotients...

other than the cyclic groups, the alternating groups, the Tits group, and the 26 sporadic simple groups. For any finite group G, the order (number of...

continued to write sporadically for outlets including Rolling Stone, Playboy, Esquire, and ESPN.com until the end of his life. Thompson had a lifelong use...

area of modern algebra known as group theory, the Lyons group Ly or Lyons-Sims group LyS is a sporadic simple group of order    51,765,179,004,000,000...

In the area of modern algebra known as group theory, the McLaughlin group McL is a sporadic simple group of order    898,128,000 = 27 ⋅ 36 ⋅ 53 ⋅ 7 ⋅...

Mathematicians, Nice, France, 1970). The Thompson group Th is one of the 26 sporadic finite simple groups. Thompson also made major contributions to the inverse...

modern algebra known as group theory, the baby monster group B (or, more simply, the baby monster) is a sporadic simple group of order    4,154,781,481...

In group theory, a topic in abstract algebra, the Mathieu groups are the five sporadic simple groups M11, M12, M22, M23 and M24 introduced by Émile Mathieu (1861...

In the area of modern algebra known as group theory, the Harada–Norton group HN is a sporadic simple group of order    273,030,912,000,000 = 214 · 36 ·...

In the area of modern algebra known as group theory, the Higman–Sims group HS is a sporadic simple group of order    44,352,000 = 29 · 32 · 53 · 7 · 11...

special linear groups in dimension 2 and the Janko group J1. These groups also played a role in the discovery of the first modern sporadic group. They have...

index 2 in a group of Lie type. One of 26 exceptions, the sporadic groups, of which 20 are subgroups or subquotients of the monster group and are referred...

pair. The Tits group is member of the infinite family 2F4(22n+1)′ of commutator groups of the Ree groups, and thus by definition not sporadic. But because...

Tiho, which contained a couple of Thompson songs, and on which Perković collaborated. This tour continued sporadically into 2005. Internationally, he played...

simple groups was a major achievement in contemporary group theory. There are several infinite families of such groups, as well as 26 "sporadic groups" that...

At the end of the hunt, Thompson was not found, and no clues were unearthed. The official search lasted 11 days, and sporadic additional searching went...

group theory, the Held group He is a sporadic simple group of order    4,030,387,200 = 210 · 33 · 52 · 73 · 17 ≈ 4×109. He is one of the 26 sporadic groups...

and outer automorphism group of order 3. The automorphism group of 3D4(23) is a maximal subgroup of the Thompson sporadic group, and is also a subgroup...

automorphism group of the Leech lattice, and, working with John G. Thompson, discovered three new sporadic groups as a by-product: the Conway groups, Co1, Co2...

whilst Richard Thompson was a member of Fairport Convention are listed here. After Thompson left the group, he continued to appear sporadically as a guest...

as group theory, the Janko group J1 is a sporadic simple group of order    175,560 = 23 · 3 · 5 · 7 · 11 · 19 ≈ 2×105. J1 is one of the 26 sporadic groups...