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On a Class of Fixed-Point-Free Graphs

โœ Scribed by Gert Sabidussi


Book ID
120209781
Publisher
American Mathematical Society
Year
1958
Tongue
English
Weight
219 KB
Volume
9
Category
Article
ISSN
0002-9939

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Ideas from the theory of \(p\)-adic analytic groups are employed in the study of finite groups having automorphisms with few fixed points. In particular we prove that the derived length of a finite \(p\)-group admitting an automorphism of order \(p^{k}\) with \(p^{m}\) fixed points is bounded in ter