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Number of Sylow Subgroups andp-Nilpotence of Finite Groups

โœ Scribed by Naoki Chigira


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
216 KB
Volume
201
Category
Article
ISSN
0021-8693

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๐Ÿ“œ SIMILAR VOLUMES


Sylow Permutable Subnormal Subgroups of
โœ A. Ballester-Bolinches; R. Esteban-Romero ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 104 KB

## dedicated to john cossey on the occasion of his 60th birthday An extension of the well-known Frobenius criterion of p-nilpotence in groups with modular Sylow p-subgroups is proved in the paper. This result is useful to get information about the classes of groups in which every subnormal subgrou

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Let p be a prime number and K be an algebraically closed field of characteristic p. Let G be a finite group and B be a (p-) block of G. We denote by l B the number of isomorphism classes of irreducible KG-modules in B. Let D be a defect group of B and let B 0 be the Brauer correspondent of B, that i