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Cover Art
Author Manz, Olaf.

Title Representations of solvable groups / Olaf Manz and Thomas R. Wolf.

Published Cambridge ; New York : Cambridge University Press, [1993]


Location Call No. Status
Physical description xi, 302 pages ; 23 cm.
Series London Mathematical Society lecture note series ; 185.
London Mathematical Society lecture note series ; 185.
Bibliography Includes bibliographical references (pages 293-298) and index.
Contents Chap. 0. Preliminaries -- Chap. I. Solvable subgroups of linear groups. 1. Quasi-primitive linear groups. 2. Semi-linear and small linear groups. 3. Bounds for the order and the derived length of linear groups -- Chap. II. Solvable permutation groups. 4. Orbit sizes of p-groups and the existence of regular orbits. 5. Solvable permutation groups and the existence of regular orbits on the power set. 6. Solvable doubly transitive permutation groups. 7. Regular orbits of Sylow subgroups of solvable linear groups. 8. Short orbits of linear groups of odd order -- Chap. III. Module actions with large centralizers. 9. Sylow centralizers - the imprimitive case. 10. Sylow centralizers - the primitive case. 11. Arithmetically large orbits -- Chap. IV. Prime power divisors of character degrees. 12. Characters of p'-degree and Brauer's height-zero conjecture. 13. Brauer characters of q'-degree and Ito's theorem. 14. The p-part of character degrees. 15. McKay's conjecture.
Chap. V. Complexity of character degrees. 16. Derived length and the number of character degrees. 17. Huppert's [rho]-[sigma]-conjecture. 18. The character degree graph. 19. Coprime group actions and character degrees. 20. Brauer characters - the modular degree graph -- Chap. VI. [pi]-special characters. 21. Factorization and restriction of [pi]-special characters. 22. Some applications - character values and Feit's conjecture. 23. Lifting Brauer characters and conjectures of Alperin and McKay.
Other author Wolf, Thomas R.
Subject Solvable groups.
Representations of groups.
Permutation groups.
ISBN 0521397391