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Products of rotations by a given angle in the orthogonal group

Mahmoudi, M. G ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1017/S0004972717000946
  3. Abstract:
  4. For every rotation (Formula presented.) of the Euclidean space (Formula presented.) ((Formula presented.)), we find an upper bound for the number (Formula presented.) such that (Formula presented.) is a product of (Formula presented.) rotations by an angle (Formula presented.) ((Formula presented.)). We also find an upper bound for the number (Formula presented.) such that (Formula presented.) can be written as a product of (Formula presented.) full rotations by an angle (Formula presented.). © 2017 Australian Mathematical Publishing Association Inc
  5. Keywords:
  6. Reflection ; Rotation group
  7. Source: Bulletin of the Australian Mathematical Society ; 2017 , Pages 1-5 ; 00049727 (ISSN)
  8. URL: https://www.cambridge.org/core/journals/bulletin-of-the-australian-mathematical-society/article/products-of-rotations-by-a-given-angle-in-the-orthogonal-group/A528FE77CD295B758CD585BC3B077E66