Об одном свойстве модулярных представлений диэдральных 2-групп
We prove that in the case of an algebraically closed field of characteristic 2 there exist infinitely many dimensions in each of which the dihedral 2-group of order s=8,16 has infinitely many faithful indecomposable pairwise non-equivalent matrix representations of non-constant rank. Cite as: Lytvyn...
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| Date: | 2018 |
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| Main Author: | |
| Format: | Article |
| Language: | Ukrainian |
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Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine
2018
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| Subjects: | |
| Online Access: | http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/2461 |
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| Journal Title: | Prykladni Problemy Mekhaniky i Matematyky |
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Prykladni Problemy Mekhaniky i Matematyky| Summary: | We prove that in the case of an algebraically closed field of characteristic 2 there exist infinitely many dimensions in each of which the dihedral 2-group of order s=8,16 has infinitely many faithful indecomposable pairwise non-equivalent matrix representations of non-constant rank. Cite as: Lytvynchuk I. V. On one property of modular representations of the dihedral 2-groups // Appl. Probl. Mech. Math. – 2017. – No. 15. – С. 24–28. [In Russian] |
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