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Sylow subgroups of almost locally normal groups

โœ Scribed by A. N. Tkachenko


Book ID
112504277
Publisher
Springer
Year
1984
Tongue
English
Weight
383 KB
Volume
36
Category
Article
ISSN
0041-5995

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On Sylow Subgroups of Local Galois-Group
โœ S. Liedahl ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 517 KB

Let \(p\) be an odd prime, and let \(\mathscr{P}\) denote the class of \(p\)-groups which occur as Sylow \(p\)-subgroups of finite Galois groups over the \(p\)-adic field \(Q_{p}\). We prove that \(\mathscr{P}\) contains every abelian \(p\)-group of rank \(\leq(p-1)^{2}\), and that certain nonabelia