Abstract
In this chapter we deal with groups of matrices and related concepts. We have already defined GL(2, ℝ) to be the group of all 2 × 2 invertible real matrices, and seen (in Examples 2(d) and 3(e)) how it acts on ℝ2 by matrix multiplication on the right. We now generalise these ideas to arbitrary fields F and to larger matrices.
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© 1997 Hindustan Book Agency
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Bhattacharjee, M., Möller, R.G., Macpherson, D., Neumann, P.M. (1997). Linear Groups. In: Notes on Infinite Permutation Groups. Texts and Readings in Mathematics. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-80250-91-5_7
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DOI: https://doi.org/10.1007/978-93-80250-91-5_7
Publisher Name: Hindustan Book Agency, Gurgaon
Print ISBN: 978-81-85931-13-5
Online ISBN: 978-93-80250-91-5
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