Factorizations in local subgroups of finite groups G. Glauberman. Regional conference series in mathematics 33; Regional Conference Series in Mathematics 33.

Glauberman, George:

ISBN 10: 0821816837 / ISBN 13: 9780821816837

Edité par Providence, American mathematical Society, 1977

A propos de cet article

Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 20 GLA 9780821816837 Sprache: Englisch Gewicht in Gramm: 250.

N° de réf. du vendeur 2506278

Détails bibliographiques

• Titre: Factorizations in local subgroups of finite groups G. Glauberman. Regional conference series in mathematics 33; Regional Conference Series in Mathematics 33.
• Éditeur: Providence, American mathematical Society
• Date de parution: 1977
• Langue: anglais
• ISBN à 10 chiffres: 0821816837
• ISBN à 13 chiffres: 9780821816837
• Reliure: Softcover
• Catalogues du vendeur:
  • SA MATHEMATIK

A propos de ce titre

Synopsis

This monograph focuses on progress in the study of Sylow subgroups and their influence on the structure of the group as a whole. This research has been applied to other areas of finite group theory, including classification of simple groups, but is also of independent interest and does not require extensive background or long proofs. In 1969, the author gave a report on this topic which appeared in the book ""Finite Simple Groups"" (edited by M. B. Powell and G. Higman, Academic Press, 1971; MR 48 No. 6228).The present monograph covers progress since 1969. It includes some new results of Yoshida on transfer, a partial analogue for $p-2$ of the author's ""$ZJ$-Theorem"", and the classification of all simple groups which are $S^4$-free, i.e., in which the symmetric group of degree four is not involved. It also includes an expository account of recent work of M. Aschbacher, B. Baumann, R. Niles, and others on 'failure of factorization', 'pushing-up' arguments, and related subjects. This is not an expository work. This work should be accessible to advanced graduate students. In particular, a semester's study in finite group theory beyond the M.A. or M.S. degree should be adequate background, e. g., Chapters 1-3 and 5-7 of Gorenstein's Reviews on finite groups (Amer. Math. Soc., 1974; MR 50 < No. 2312). The book supplements the author's report in Finite simple groups. Familarity with this report is recommended but not assumed.