M. Mohammed Salih, Haval (2017) Classification of All Primitive Groups of Degrees Four and Five. Eurasian Journal of Science and Engineering, 3 (2). pp. 1-9. ISSN 24145629
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Abstract
Let be a compact Riemann surface of genus and be indecomposable meromorphic function of Riemann sphere by . Isomorphisms of such meromorphic functions are in one to one correspondence with conjugacy classes of tuples of permutations in such that and a subgroup of . Our goal of this work is to give a classification in the case where is of genus 1 and the subgroup is a primitive subgroup of or . We present the ramification types for genus 1 to complete such a classification. Furthermore, we show that the subgroups and of do not possesses primitive genus 1 systems.
Item Type: | Article |
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Uncontrolled Keywords: | Primitive Groups, Indecomposable Meromorphic Functions, Genus Systems |
Subjects: | Q Science > QA Mathematics |
Divisions: | Eurasian Journal of Science and Engineering > VOL 3, NO 2 (2017) |
Depositing User: | ePrints deposit |
Date Deposited: | 13 Oct 2020 19:31 |
Last Modified: | 13 Oct 2020 19:31 |
URI: | http://eprints.tiu.edu.iq/id/eprint/221 |
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