Timeline for Conjectures about the automorphism group of integer lattice by enlarging the matrix
Current License: CC BY-SA 4.0
6 events
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| Nov 2, 2021 at 22:52 | comment | added | GreginGre | What you call $PSL(m,\mathbb{Z})$ is the true $GL_m(\mathbb{Z})$ (invertible matrices with integers coefficients, such that the inverse is also a matrix with integer coeffs). It would be nicer to everyone to use standard notation. | |
| Nov 2, 2021 at 18:20 | comment | added | en kuo | I am not required an inverse matrix to have integer coefficients. Ok, my PLS(m, Z) is just m by m matrices but with determinant plus or minus 1. | |
| Oct 31, 2021 at 14:36 | comment | added | GreginGre | Your notation are weird...Do you agree that what you call $GL(n,\mathbb{Z})$ is $M_n(\mathbb{Z})\cap GL_n(\mathbb{Q})$ ? (that is, you do not require that the inverse matrix has integer coefficients ???) Moreover, I do not understand how you can fit an element of $PSL(m,\mathbb{Z})$ in a matrix . For me an element of $PSL(m,\mathbb{Z})$ is an element of the quotient group $SL(m,\mathbb{Z})/center$. Could you precise what you mean ? | |
| Oct 25, 2021 at 19:33 | history | edited | YCor | CC BY-SA 4.0 |
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| Oct 25, 2021 at 16:19 | history | edited | en kuo | CC BY-SA 4.0 |
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| Oct 25, 2021 at 15:50 | history | asked | en kuo | CC BY-SA 4.0 |