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THE CARTER SUBGROUPS OF SOME CLASSICAL GROUPS

Published online by Cambridge University Press:  02 February 2004

A. PREVITALI ,
M. C. TAMBURINI  and
E. P. VDOVIN
A. PREVITALI
Affiliation:
Dipartimento di Scienze Chimiche, Fisiche e Matematiche, Università dell' Insubria, Via Valleggio 11, 22100 Como, Italy andrea.previtali@uninsubria.it
M. C. TAMBURINI
Affiliation:
Dipartimento di Matematica e Fisica, Università Cattolica del Sacro Cuore, Via Musei 41, 25121 Brescia, Italy c.tamburini@dmf.unicatt.it
E. P. VDOVIN
Affiliation:
Institute of Mathematics, pr. Academy Koptug, 4, 630090 Novosibirsk, Russia vdovin@math.nsc.ru vdovin@math.unipd.it
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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.

Keywords

20D2520D0520E07

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Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 36 , Issue 2 , March 2004 , pp. 145 - 155
Copyright
© The London Mathematical Society 2004

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