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products of rotations by a given angle in the orthogonal group

Gholamzadeh Mahmoudi, M ; Sharif University of technology | 2018

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  1. Type of Document: Article
  2. DOI: 10.1017/S0004972717000946
  3. Publisher: Cambridge University Press , 2018
  4. Abstract:
  5. For every rotation of the Euclidean space ℝ(n≥3), we find an upper bound for the number such that is a product of rotations by an angle α( 0<≤π). We also find an upper bound for the number such that ρ can be written as a product of full rotations by an angle α. © 2017 Australian Mathematical Publishing Association Inc
  6. Keywords:
  7. reflection ; rotation group
  8. Source: Bulletin of the Australian Mathematical Society ; Volume 97, Issue 2 , 2018 , Pages 308-312 ; 00049727 (ISSN)
  9. URL: https://www-cambridge-org.ezp2.semantak.com/core/journals/bulletin-of-the-australian-mathematical-society/article/products-of-rotations-by-a-given-angle-in-the-orthogonal-group/A528FE77CD295B758CD585BC3B077E66