dc.contributor.author Chikunji, Chiteng'A John dc.date.accessioned 2021-05-12T10:01:53Z dc.date.available 2021-05-12T10:01:53Z dc.date.issued 2017 dc.identifier.uri http://hdl.handle.net/11071/11838 dc.description Paper presented at the 4th Strathmore International Mathematics Conference (SIMC 2017), 19 - 23 June 2017, Strathmore University, Nairobi, Kenya. en_US dc.description.abstract In 1960, Laszlo Fuchs posed, among other problems, the following: characterize the groups which are the groups of all units in a commutative and associative ring with identity. Though this problem still remains open, attempts have been made to solve it for various classes of groups, where the rings are not assumed to be commutative. In this paper, we focus on a slightly weaker version of Fuchs' problem by determining completely primary finite rings whose unit groups have homocyclic Sylow $p$-subgroups with prime power exponents. We further investigate the constraints on the rings with no homocyclic Sylow $p-$subgroups of the unit groups. en_US dc.language.iso en en_US dc.publisher Strathmore University en_US dc.subject Finite rings en_US dc.subject Homocyclic $p-$groups en_US dc.subject Sylow $p$-subgroups en_US dc.title Finite rings with homocyclic $p-$groups as Sylow $p$-subgroups of the group of units en_US dc.type Article en_US
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### This item appears in the following Collection(s)

• SIMC 2017 [85]
4th Strathmore International Mathematics Conference (June 19 – 23, 2017)