On Tensor Squares of Reducible Representations of Almost Simple Groups. II
Almost simple {SM}_m -groups are considered. A group G is called {SM}_m -group if the tensor square of any irreducible representation is decomposed into the sum of all characters with multiplicities not greater than m. It turned out that if G is an almost simple {SM}_2 -group, then G congruence {PG...
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| Format: | Article |
| Language: | English |
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Yaroslavl State University
2011-06-01
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| Series: | Моделирование и анализ информационных систем |
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| Online Access: | https://www.mais-journal.ru/jour/article/view/1085 |
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| _version_ | 1849338709472706560 |
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| author | S. V. Polyakov |
| author_facet | S. V. Polyakov |
| author_sort | S. V. Polyakov |
| collection | DOAJ |
| description | Almost simple {SM}_m -groups are considered. A group G is called {SM}_m -group if the tensor square of any irreducible representation is decomposed into the sum of all characters with multiplicities not greater than m. It turned out that if G is an almost simple {SM}_2 -group, then G congruence {PGL}_2(q). |
| format | Article |
| id | doaj-art-ab3c5901a48f410aa0e38bfce9f42e2b |
| institution | Kabale University |
| issn | 1818-1015 2313-5417 |
| language | English |
| publishDate | 2011-06-01 |
| publisher | Yaroslavl State University |
| record_format | Article |
| series | Моделирование и анализ информационных систем |
| spelling | doaj-art-ab3c5901a48f410aa0e38bfce9f42e2b2025-08-20T03:44:19ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172011-06-01182517826On Tensor Squares of Reducible Representations of Almost Simple Groups. IIS. V. Polyakov0Ярославский государственный университет им. П.Г. ДемидоваAlmost simple {SM}_m -groups are considered. A group G is called {SM}_m -group if the tensor square of any irreducible representation is decomposed into the sum of all characters with multiplicities not greater than m. It turned out that if G is an almost simple {SM}_2 -group, then G congruence {PGL}_2(q).https://www.mais-journal.ru/jour/article/view/1085sr-groups{sm}_<i>m </i>-groupsalmost simple groupsautomorphismsgap |
| spellingShingle | S. V. Polyakov On Tensor Squares of Reducible Representations of Almost Simple Groups. II Моделирование и анализ информационных систем sr-groups {sm}_<i>m </i>-groups almost simple groups automorphisms gap |
| title | On Tensor Squares of Reducible Representations of Almost Simple Groups. II |
| title_full | On Tensor Squares of Reducible Representations of Almost Simple Groups. II |
| title_fullStr | On Tensor Squares of Reducible Representations of Almost Simple Groups. II |
| title_full_unstemmed | On Tensor Squares of Reducible Representations of Almost Simple Groups. II |
| title_short | On Tensor Squares of Reducible Representations of Almost Simple Groups. II |
| title_sort | on tensor squares of reducible representations of almost simple groups ii |
| topic | sr-groups {sm}_<i>m </i>-groups almost simple groups automorphisms gap |
| url | https://www.mais-journal.ru/jour/article/view/1085 |
| work_keys_str_mv | AT svpolyakov ontensorsquaresofreduciblerepresentationsofalmostsimplegroupsii |