Сибирский федеральный университет

Тип публикации: статья из журнала

Год издания: 2009

Ключевые слова: automorphism, finitary Chevalley group, Large abelian subgroup, unipotent subgroup

Аннотация: The description of the automorphisms of a unipotent subgroup U of a Chevalley group over a field K known earlier for charK ≠ 2, 3 (Gibbs, 1970) was completed in 1990 together with the solution of problem (1.5) from A. S. Kondrat'ev's survey (Usp. Mat. Nauk, 1986). In the present paper, Aut U is described for the case of finitary Chevalley groups. For a Chevalley group of classical type over a finite field, it is proved that any large Abelian subgroup from U is conjugate to a normal subgroup in U. It is shown that this is not so in the general case; therefore, problem (1.6) from Kondrat'ev's survey about large Abelian subgroups in U is reduced to listing the exceptions. The orders of these subgroups and large Abelian normal subgroups in U were listed earlier. © Pleiades Publishing, Ltd., 2009.

Журнал: Proceedings of the Steklov Institute of Mathematics

Выпуск журнала: Т. 267, №SUPPL. 1

Номера страниц: 118-127

ISSN журнала: 00815438

Место издания: Москва

Издатель: Pleiades Publishing, Ltd. (Плеадес Паблишинг, Лтд)

• Levchuk V.M. (Siberian Federal University)
• Suleimanova G.S. (Siberian Federal University)

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