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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| Дата: | 2018 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | Ukrainian |
| Опубліковано: |
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine
2018
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| Теми: | |
| Онлайн доступ: | http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/2461 |
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| Назва журналу: | Prykladni Problemy Mekhaniky i Matematyky |
Репозитарії
Prykladni Problemy Mekhaniky i Matematyky| Резюме: | 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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