On strong reality of the unipotent Lie-type subgroups over a field of characteristic 2 |
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Authors: | M A Gazdanova Ya N Nuzhin |
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Institution: | (1) Krasnoyarsk State Technical University, Krasnoyarsk, Russia |
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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 KX] or K 0X] (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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Keywords: | Lie-type group unipotent subgroup regular unipotent element strongly real element commutativity graph |
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