| 11. | The companion concept to associated bundles is the "'reduction of the structure group "'of a G-bundle B.
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| 12. | The structure group is the orthogonal group.
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| 13. | If a structure group G is a complex semisimple matrix group, the configuration space of quantum gauge theory.
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| 14. | He graduated from a highly structured group home to one where he had more responsibility, then to independent living.
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| 15. | Instead, Lippman was part of a loosely structured group of young rebels unbeholden to any power, foreign or domestic.
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| 16. | Any two frames are related by an element in the subgroup of the structure group of preserving the trace form.
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| 17. | In general, this is possible for any " G "-connection on a fibre bundle with structure group " G ".
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| 18. | The company's Osaka Works provides many services for the Ship and Steel Structure group and other groups in the company.
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| 19. | They live in forests throughout Central and South America, congregating in hierarchically structured groups of maybe 25 to 35 individuals.
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| 20. | More generally, it can be used to denote the head of any hierarchically structured group of people, often as a compound word.
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