Extension of Maschke’s theorem
© 2019, © 2019 Taylor & Francis Group, LLC. In the present article, we examine linear representations of finite gyrogroups, following their group-counterparts. In particular, we prove Maschke’s theorem for gyrogroups, along with its converse. This suggests studying the left regular action of a...
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| Format: | Journal |
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2019
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| Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85062370290&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/63685 |
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| Institution: | Chiang Mai University |
| Summary: | © 2019, © 2019 Taylor & Francis Group, LLC. In the present article, we examine linear representations of finite gyrogroups, following their group-counterparts. In particular, we prove Maschke’s theorem for gyrogroups, along with its converse. This suggests studying the left regular action of a gyrogroup (G,⊕) on the function space (Formula presented.) in a natural way, where L(G) is the space of all functions from G to a field. |
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