On maximal Subgroups of the multiplicative group of a division algebra

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dc.creatorHazrat, R.
dc.creatorWadsworth, A. R.
dc.date2008-12-17
dc.date.accessioned2026-07-07T12:20:14Z
dc.date.available2026-07-07T12:20:14Z
dc.descriptionThe question of existence of a maximal subgroup in the multiplicative group D* of a division algebra D finite dimensional over its center F is investigated. We prove that if D* has no maximal subgroup, then deg(D) is not a power of 2, F^{*2} is divisible, and for each odd prime p dividing deg(D), there exist noncyclic division algebras of degree p over F.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/0812.3435
dc.identifierhttp://arxiv.org/abs/0812.3435
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213010
dc.subjectRings and Algebras
dc.titleOn maximal Subgroups of the multiplicative group of a division algebra
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