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THE CARTER SUBGROUPS OF SOME CLASSICAL GROUPS
Published online by Cambridge University Press: 02 February 2004
Abstract
It is shown that a Carter subgroup of a non-soluble unitary group can only be the normalizer of a Sylow 2-subgroup. This result, combined with previous results, implies that no finite simple group can be a minimal counterexample to the conjugacy conjecture of Carter subgroups in a finite group.The third author was partially supported by the University of Padova, the RFBR, grants 02-01-00495 and 02-01-06226, Ministry of Education RF, E00-1.0-77, ‘Universities of Russia’ UR.04.01.031.
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- © The London Mathematical Society 2004
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