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Characters and Sylow 2-subgroups of maximal class revisited
Authors:Gabriel Navarro  Benjamin Sambale  Pham Huu Tiep
Institution:1. Department of Mathematics, Universitat de València, 46100 Burjassot, València, Spain;2. FB Mathematik, TU Kaiserslautern, Postfach 3049, 67653 Kaiserslautern, Germany;3. Department of Mathematics, Rutgers University, Piscataway, NJ 08854, USA
Abstract:We give two ways to distinguish from the character table of a finite group G if a Sylow 2-subgroup of G has maximal class. We also characterize finite groups with Sylow 3-subgroups of order 3 in terms of their principal 3-block.
Keywords:Primary  20C15  secondary  20C20
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