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| CRITERION FOR SL(2,Z)-MATRIX TO BE CONJUGATE TO ITS INVERSE |
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Citation： |
LONG Yiming.CRITERION FOR SL(2,Z)-MATRIX TO BE CONJUGATE TO ITS INVERSE[J].Chinese Annals of Mathematics B,2002,23(4):455~460 |
| Page view： 1226
Net amount： 740 |
Authors： |
LONG Yiming; |
Foundation： |
Project supported by the 973 Program of STM, MCME, RFDP, PMC Key Lab of EM of China, S. S. Chern Foundation, CEC of Tianjin, and Nankai University. |
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| Abstract： |
This paper gives a necessary and sufficient condition for a matrix in SL(2;Z) to be conjugate to its inverse. This condition reduces the determination of the conjugation to solving some indeterminate equation of second degree. It yields an algorithm to determine this conjugation in finite steps based on the elementary number theory. |
Keywords： |
SL(2,Z) matrix, Inverse, Mixed stability |
Classification： |
20H05, 11A55, 34D99 |
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