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December 2020 On certain groups with $G$-contrainvariant subspaces
Martyn R. Dixon, Leonid A. Kurdachenko, Igor Ya. Subbotin
Rocky Mountain J. Math. 50(6): 2023-2034 (December 2020). DOI: 10.1216/rmj.2020.50.2023

Abstract

For the field 𝔽 and 𝔽-vector space A, let G be a subgroup of GL(𝔽,A), the group of invertible 𝔽-linear transformations of A. A subspace B of A is G-contrainvariant if GB=A. We discuss groups G and vector spaces A such that every subspace of A is either G-invariant or G-contrainvariant.

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Martyn R. Dixon. Leonid A. Kurdachenko. Igor Ya. Subbotin. "On certain groups with $G$-contrainvariant subspaces." Rocky Mountain J. Math. 50 (6) 2023 - 2034, December 2020. https://doi.org/10.1216/rmj.2020.50.2023

Information

Received: 15 December 2019; Revised: 18 June 2020; Accepted: 30 June 2020; Published: December 2020
First available in Project Euclid: 5 January 2021

Digital Object Identifier: 10.1216/rmj.2020.50.2023

Subjects:
Primary: 20H25
Secondary: 20E34, 20F29

Rights: Copyright © 2020 Rocky Mountain Mathematics Consortium

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Vol.50 • No. 6 • December 2020
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