Infinitely divisible probabilities on discrete linear groups |
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| Authors: | S. G. Dani M. McCrudden |
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| Affiliation: | (1) School of Mathematics, Tata Institute of Fundamenal Research, Homi Bhabha Road, 400 005 Bombay, India;(2) Department of Mathematics, University of Manchester, Oxford Road, M13 9PL Manchester, England |
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| Abstract: | We investigate the structure of infinitely divisible probability measures on a discrete linear group. It is shown that for any such measure there is an infinitely divisible elementz in the centralizer of the support of the measure, such that the translate of the measure byz is embeddable over the subgroup generated by the support of the measure. Examples are given to show that this reult is best possible. |
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| Keywords: | Infinitely divisible measure linear group embedding problem |
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