SOME REMARKS ON REGULAR SUBGROUPS OF THE AFFINE GROUP

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TAMBURINI BELLANI M. CHIARA

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Journal: INTERNATIONAL JOURNAL OF GROUP THEORY Year:2012 | Volume:1 | Issue:1 Page(s): 17-23

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Information Journal Paper

Title

SOME REMARKS ON REGULAR SUBGROUPS OF THE AFFINE GROUP

Author(s)

TAMBURINI BELLANI M. CHIARA | Issue Writer Certificate

Keywords

AFFINE GROUPQ4

REGULAR SUBGROUPSQ4

Abstract

Let V be a vector space over a field F of characteristic p ³ 0 and let T be a regular subgroup of the AFFINE GROUP AGL (V). In the finite dimensional case we show that, if T is abelian or p > 0, then T is unipotent. For T abelian, pushing forward some ideas used in [A. Caranti, F. Dalla Volta and M. Sala, Abelian REGULAR SUBGROUPS of the AFFINE GROUP and radical rings, Publ. Math. Debrecen 69 (2006), 297-308.], we show that the set {t - I | t Î T} is a subalgebra of EndF (F Å V), which is nilpotent when V has finite dimension. This allows a rather systematic construction of abelian REGULAR SUBGROUPS.

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APA: Copy

TAMBURINI BELLANI, M. CHIARA. (2012). SOME REMARKS ON REGULAR SUBGROUPS OF THE AFFINE GROUP. INTERNATIONAL JOURNAL OF GROUP THEORY, 1(1), 17-23. SID. https://sid.ir/paper/212631/en

Vancouver: Copy

TAMBURINI BELLANI M. CHIARA. SOME REMARKS ON REGULAR SUBGROUPS OF THE AFFINE GROUP. INTERNATIONAL JOURNAL OF GROUP THEORY[Internet]. 2012;1(1):17-23. Available from: https://sid.ir/paper/212631/en

IEEE: Copy

M. CHIARA TAMBURINI BELLANI, “SOME REMARKS ON REGULAR SUBGROUPS OF THE AFFINE GROUP,” INTERNATIONAL JOURNAL OF GROUP THEORY, vol. 1, no. 1, pp. 17–23, 2012, [Online]. Available: https://sid.ir/paper/212631/en

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