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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Main Author:	Teerapong Suksumran
Format:	Journal
Published:	2019
Subjects:	Mathematics
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

id	th-cmuir.6653943832-63685
record_format	dspace
spelling	th-cmuir.6653943832-636852019-03-18T02:24:00Z Extension of Maschke’s theorem Teerapong Suksumran Mathematics © 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. 2019-03-18T02:24:00Z 2019-03-18T02:24:00Z 2019-01-01 Journal 15324125 00927872 2-s2.0-85062370290 10.1080/00927872.2018.1530251 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85062370290&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/63685
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Teerapong Suksumran Extension of Maschke’s theorem
description	© 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.
format	Journal
author	Teerapong Suksumran
author_facet	Teerapong Suksumran
author_sort	Teerapong Suksumran
title	Extension of Maschke’s theorem
title_short	Extension of Maschke’s theorem
title_full	Extension of Maschke’s theorem
title_fullStr	Extension of Maschke’s theorem
title_full_unstemmed	Extension of Maschke’s theorem
title_sort	extension of maschke’s theorem
publishDate	2019
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85062370290&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/63685
_version_	1681425941360803840

Extension of Maschke’s theorem

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