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Sinopsis
In 1902 William Burnside wrote "A still undecided point in the theory of discontinuous groups is whether the order of a group may not be finite while the order of every operation it contains is finite". Since then, the Burnside problem, in different guises, has inspired a considerable amount of research. This book aims to give a comprehensive account of a variant on the Burnside problem - the restricted Burnside problem. Making extensive use of Lie ring techniques it allows a uniform treatment of the field and includes Kostrikin's theorem for groups of prime exponent as well as detailed information on groups of small exponent. The treatment is intended to be self-contained and as such will be valuable to postgraduate students and research workers in the field. The author has included extensive details of the use of computer algebra to verify computations.
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Reseña del editor
In 1902 William Burnside wrote "A still undecided point in the theory of discontinuous groups is whether the order of a group may not be finite while the order of every operation it contains is finite". Since then, the Burnside problem, in different guises, has inspired a considerable amount of research. This book aims to give a comprehensive account of a variant on the Burnside problem - the restricted Burnside problem. Making extensive use of Lie ring techniques it allows a uniform treatment of the field and includes Kostrikin's theorem for groups of prime exponent as well as detailed information on groups of small exponent. The treatment is intended to be self-contained and as such will be valuable to postgraduate students and research workers in the field. The author has included extensive details of the use of computer algebra to verify computations.
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The Restricted Burnside Problem (London Mathematical Society Monographs)
Publicado por
Oxford University Press, 1990
ISBN 10: 0198535732
ISBN 13: 9780198535737
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Librería: Phatpocket Limited, Waltham Abbey, HERTS, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Condición: Good. Your purchase helps support Sri Lankan Children's Charity 'The Rainbow Centre'. Ex-library, so some stamps and wear, but in good overall condition. Our donations to The Rainbow Centre have helped provide an education and a safe haven to hundreds of children who live in appalling conditions. Nº de ref. del artículo: Z1-E-024-02294
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