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Janko group J1 information


In the area of modern algebra known as group theory, the Janko group J1 is a sporadic simple group of order

   23 ···· 11 · 19 = 175560
≈ 2×105.

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Janko group J1

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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...

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Janko group

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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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Pariah group

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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...

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List of finite simple groups

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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"...

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J1

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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...

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Ree group

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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...

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Zvonimir Janko

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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...

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Sporadic group

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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...

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Quasithin group

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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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Classification of finite simple groups

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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...

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IBM 1620

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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...

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Walter theorem

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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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Group of Lie type

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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...

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Graham Arnold

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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...

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