Coset Decomposition of Space Groups: Applications to Domain Structure Analysis

Autor:	R. Dirl, Peter Zeiner, Václav Janovec, B. L. Davies
Rok vydání:	1997
Předmět:	Alternative methods Pure mathematics Structure analysis Double coset Structure (category theory) Space group Combinatorics Mathematics::Group Theory High Energy Physics::Theory Structural Biology Domain (ring theory) Decomposition (computer science) Coset Mathematics
Zdroj:	Acta Crystallographica Section A Foundations of Crystallography. 53:456-466
ISSN:	0108-7673
DOI:	10.1107/s0108767397003450
Popis:	Left- and double-coset decompositions of space groups are systematically analysed by putting the emphasis on the introduction of special auxiliary groups. An algorithm is tailored to exploit the specific structure of space groups. The new results are, amongst others, an efficient alternative method to determine for space groups minimal sets of double-coset representatives and a general formula that gives the structure and number of left cosets that are contained in double cosets. Left-coset and double-coset decompositions of space groups are exploited in domain structure analysis.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::0682cf024eedafc7d35ec6d5e6621385 https://doi.org/10.1107/s0108767397003450 Zobrazit plný text záznamu Plný text