Wreath groups

Daniel B. Litvin

doi:10.1016/0378-4371(80)90181-8

Wreath groups

Daniel B. Litvin

Division of Science (Berks)

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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 language	English (US)
Pages (from-to)	339-350
Number of pages	12
Journal	Physica A: Statistical Mechanics and its Applications
Volume	101
Issue number	2-3
DOIs	https://doi.org/10.1016/0378-4371(80)90181-8
State	Published - May 1980

All Science Journal Classification (ASJC) codes

Statistics and Probability
Condensed Matter Physics

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10.1016/0378-4371(80)90181-8

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title = "Wreath groups",

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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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.

AB - 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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DO - 10.1016/0378-4371(80)90181-8

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AN - SCOPUS:34347389819

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JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 2-3

ER -

Wreath groups

Abstract

All Science Journal Classification (ASJC) codes

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