Wreath groups

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

A new class of groups is defined for describing the symmetry of spin arrangements in magnetic crystals. The general structure of these new groups, which we name wreath groups, is determined in a mathematically rigorous manner. Wreath groups are particularly suitable for describing incommensurate spin arrangements with varying magnitudes of spins. The use of wreath groups to classify all spin arrangements and the effect of such wreath group symmetries on elastic magnetic neutron diffraction are briefly discussed.

Original languageEnglish (US)
Pages (from-to)339-350
Number of pages12
JournalPhysica A: Statistical Mechanics and its Applications
Volume101
Issue number2-3
DOIs
StatePublished - Jan 1 1980

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Arrangement
Symmetry Group
Neutron
symmetry
Diffraction
Crystal
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neutron diffraction
Symmetry
crystals
Class

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Condensed Matter Physics

Cite this

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abstract = "A new class of groups is defined for describing the symmetry of spin arrangements in magnetic crystals. The general structure of these new groups, which we name wreath groups, is determined in a mathematically rigorous manner. Wreath groups are particularly suitable for describing incommensurate spin arrangements with varying magnitudes of spins. The use of wreath groups to classify all spin arrangements and the effect of such wreath group symmetries on elastic magnetic neutron diffraction are briefly discussed.",
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Wreath groups. / Litvin, Daniel Bernard.

In: Physica A: Statistical Mechanics and its Applications, Vol. 101, No. 2-3, 01.01.1980, p. 339-350.

Research output: Contribution to journalArticle

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AU - Litvin, Daniel Bernard

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N2 - A new class of groups is defined for describing the symmetry of spin arrangements in magnetic crystals. The general structure of these new groups, which we name wreath groups, is determined in a mathematically rigorous manner. Wreath groups are particularly suitable for describing incommensurate spin arrangements with varying magnitudes of spins. The use of wreath groups to classify all spin arrangements and the effect of such wreath group symmetries on elastic magnetic neutron diffraction are briefly discussed.

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