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Janko group information


In the area of modern algebra 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 groups, or Fischer groups, the Janko groups do not form a series, and the relation among the four groups is mainly historical rather than mathematical.

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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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Janko group J2

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area of modern algebra known as group theory, the Janko group J2 or the Hall-Janko group HJ is a sporadic simple group of order    27 · 33 · 52 · 7 = 604800...

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Janko group J1

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In the area of modern 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...

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Janko group J4

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In the area of modern algebra known as group theory, the Janko group J4 is a sporadic simple group of order    86,775,571,046,077,562,880 = 221 · 33 ·...

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Janko group J3

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of modern algebra known as group theory, the Janko group J3 or the Higman-Janko-McKay group HJM is a sporadic simple group of order    27 · 35 · 5 · 17 ·...

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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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Zvonimir Janko

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Zvonimir Janko (26 July 1932 – 12 April 2022) was a Croatian mathematician who was the eponym of the Janko groups, sporadic simple groups in group theory...

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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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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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HJ

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in Wiktionary, the free dictionary. HJ may refer to: Hall–Janko group, a mathematical group Hamilton–Jacobi equation, an equation in classical mechanics...

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Sepp Janko

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Josef "Sepp" Janko (Serbo-Croatian: Jozef „Sep“ Janko / Јозеф „Сеп“ Јанко; 9 November 1905 — 25 September 2001) was a Volksgruppenführer ("Group Leader")...

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Simple group

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since the work of Mathieu, in 1964 the first Janko group was discovered, and the remaining 20 sporadic groups were discovered or conjectured in 1965–1975...

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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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Marc Janko

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Marc Janko (born 25 June 1983) is an Austrian former professional footballer who played as a striker. Janko was a successful goal-scorer, particularly...

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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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Monstrous moonshine

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Harada–Norton group HN = F5 T5B and T10D into representations of the Hall–Janko group 2.HJ T7A into representations of the Held group He = F7 T7B and...

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Conway group

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A5 o 2.HJ):2, in which the Hall–Janko group HJ makes its appearance. The aforementioned graph expands to the Hall–Janko graph, with 100 vertices. Next...

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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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List of group theory topics

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linear group Group of Lie type Group scheme HN group Janko group Lie group Simple Lie group Linear algebraic group List of finite simple groups Mathieu...

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J2

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Chemical Classification System Haplogroup J2 (Y-DNA), a Y-DNA haplogroup Janko group J2 in mathematics Jinja2, a Python template engine that uses file extension...

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