algebra known as group theory, the Janko group J1 is a sporadic simple group of order 23 · 3 · 5 · 7 · 11 · 19 = 175560 ≈ 2×105. J1 is one of the 26...
10 KB (1,222 words) - 12:34, 24 November 2024
known as group theory, the Janko groups are the four sporadic simple groups J1, J2, J3 and J4 introduced by Zvonimir Janko. Unlike the Mathieu groups, Conway...
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the last Mathieu group that Zvonimir Janko constructed a new sporadic simple group in 1964. In his honour, this group is now called J1. This discovery...
4 KB (382 words) - 06:14, 20 March 2023
Ly are pariahs. Three other sporadic groups were also shown to be pariahs by Griess in 1982, and the Janko Group J1 was shown to be the final pariah by...
3 KB (179 words) - 06:07, 29 May 2024
12⋅M22.) Z. Janko (1976). "A new finite simple group of order 86,775,571,046,077,562,880 which possesses M24 and the full covering group of M22 as subgroups"...
46 KB (1,789 words) - 11:28, 3 August 2024
group 3D4(2) The Mathieu group M11 The Janko group J1 Quasithin group Aschbacher, Michael (1976), "Thin finite simple groups", Bulletin of the American...
2 KB (244 words) - 21:40, 18 August 2023
Therapeutic Chemical Classification System Haplogroup J1 (Y-DNA), a Y-DNA haplogroup Janko group J1, in mathematics S/2003 J 1, a former name for Eukelade...
2 KB (352 words) - 16:08, 9 January 2023
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...
17 KB (2,067 words) - 00:02, 3 December 2023
up Janko in Wiktionary, the free dictionary. Janko is a surname and given name. Janko may also refer to: Janko group, in mathematics Janko group J1 Janko...
405 bytes (90 words) - 14:18, 10 December 2021
the groups are named after the mathematician(s) who first predicted their existence. The full list is: Mathieu groups M11, M12, M22, M23, M24 Janko groups...
52 KB (2,072 words) - 05:37, 25 October 2024
sporadic groups there were, and in fact some of the sporadic groups (e.g., the Janko groups) were discovered while proving other cases of the classification...
44 KB (4,005 words) - 20:31, 25 November 2024
only extra group that appears is the Janko group J1. Aschbacher, Michael; Smith, Stephen D. (2004), The classification of quasithin groups. I Structure...
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G2 (mathematics) (redirect from G2 (group))
order of the octonions. The Janko group J1 was first constructed as a subgroup of G2(11). Ree (1960) introduced twisted Ree groups 2G2(q) of order q3(q3 +...
15 KB (2,056 words) - 18:40, 24 July 2024
Martin Ward used an IBM 1620 model I to calculate the order of the Janko group J1. In 1966 the ITU produced an explanatory film on a 1963 system for typesetting...
102 KB (7,905 words) - 11:10, 19 November 2024
Hurwitz's automorphisms theorem (redirect from Hurwitz group)
groups that can be generated as Hurwitz groups: the Janko groups J1, J2 and J4, the Fischer groups Fi22 and Fi'24, the Rudvalis group, the Held group...
18 KB (2,781 words) - 13:17, 26 August 2024
Walter theorem (category Theorems about finite groups)
is a 2-group or one of the simple groups PSL2(q) for q = 2n or q = 3 or 5 mod 8, or the Janko group J1, or Ree groups 2G2(32n+1). (Here O(G) denotes the...
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similar form Z/2Z × PSL(2, 5) Janko found the sporadic group J1. The Suzuki groups are the only finite non-abelian simple groups with order not divisible by...
22 KB (2,985 words) - 04:28, 23 November 2024
System bodies are approved and published in a bulletin by IAU's Working Group for Small Bodies Nomenclature (WGSBN). Before May 2021, citations were published...
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Graham Arnold (category J1 League players)
likes of Milos Ninkovic, Bobo, Filip Holosko, Adrian Mierzejewski, and Marc Janko to the Sky Blues, each of whom made telling contributions to Sydney's success...
55 KB (4,293 words) - 06:21, 26 November 2024
evangelical preacher Samo Chalubka in Jelšavská Teplica, who sent it to Janko Šafařík, who gave it to his uncle Pavel Josef Šafařík. Bibliography: missal...
215 KB (6,936 words) - 14:39, 29 September 2024