	community	directory	books	authors	images	encyclopedia

Email:
Password:
Register

Knowledgerush Search

Search for images of Janko group

Message boards Post comment

Janko group

In mathematics, the Janko groups J₁, J₂, J₃ and J₄ are four of the twenty-six sporadic groups; their orders are 2³.3.5.7.11.19 (J₁), 2⁷.3³.5².7 (J₂), 2⁷.3⁵.5.17.19 (J₃) and 2²¹.3³.5.7.11³.23.29.31.37.43 (J₄), respectively.

The Janko groups were first described by mathematician Zvonimir Janko in 1966; each of these groups has intricate matrix representations as maps into large general linear groups. For example, the matrix corresponding to J₄ gives a representation of J₄ in GL(112, 2).

External links

References

Zvonimir Janko, A new finite simple group with abelian Sylow subgroups and its characterization, Journal of Algebra 32:147-186, 1966

Referenced By

Classification of finite simple groups | List of group theory topics | List of mathematical examples | List of mathematical topics (J-L) | Sporadic group

Compose Your Message

This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Janko group".