OurBigBook About$ Donate
 Sign in+ Sign up
by Ciro Santilli (@cirosantilli, 37)

Cycle notation

 ... Area of mathematics Algebra Group Important mathematical group Important discrete mathematical group Permutation
 0 By others on same topic  0 Discussions  Updated 2025-05-29  +Created 1970-01-01  See my version
A concise to describe a specific permutation.
A permutation group can then be described in terms of the generating set of a group of specific elements given in cycle notation.
E.g. en.wikipedia.org/w/index.php?title=Mathieu_group&oldid=1034060469#Permutation_groups mentions that the Mathieu group M11​ is generated by three elements:
  • (0123456789a)
  • (0b)(1a)(25)(37)(48)(69)
  • (26a7)(3945)
which feels quite compact for a simple group with 95040 elements, doesn't it!

 Ancestors (8)

  1. Permutation
  2. Important discrete mathematical group
  3. Important mathematical group
  4. Group
  5. Algebra
  6. Area of mathematics
  7. Mathematics
  8.  Home

 View article source

 Discussion (0)

+ New discussion

There are no discussions about this article yet.

 Articles by others on the same topic (0)

There are currently no matching articles.
  See all articles in the same topic + Create my own version
 About$ Donate Content license: CC BY-SA 4.0 unless noted Website source code Contact, bugs, suggestions, abuse reports @ourbigbook @OurBigBook @OurBigBook