Abstract
A group G is called strongly real if its every nonidentity element is strongly real, i.e. conjugate with its inverse by an involution of G. We address the classical Lie-type groups of rank l, with l ≤ 4 and l ≤ 13, over an arbitrary field, and the exceptional Lie-type groups over a field K with an element η such that the polynomial X 2 + X + η is irreducible either in K[X] or K 0[X] (in particular, if K is a finite field). The following question is answered for the groups under study: What unipotent subgroups of the Lie-type groups over a field of characteristic 2 are strongly real?
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 47, No. 5, pp. 1031–1051, September–October, 2006.
Original Russian Text Copyright © 2006 Gazdanova M. A. and Nuzhin Ya. N.
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Gazdanova, M.A., Nuzhin, Y.N. On strong reality of the unipotent Lie-type subgroups over a field of characteristic 2. Sib Math J 47, 844–861 (2006). https://doi.org/10.1007/s11202-006-0093-7
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DOI: https://doi.org/10.1007/s11202-006-0093-7