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dc.contributor.authorHawthorn, Ianen_NZ
dc.contributor.authorGuo, Yueen_NZ
dc.date.accessioned2015-07-19T23:25:30Z
dc.date.available2015en_NZ
dc.date.available2015-07-19T23:25:30Z
dc.date.issued2015en_NZ
dc.identifier.citationHawthorn, I., & Guo, Y. (2015). Arbitrary functions in group theory. New Zealand Journal of Mathematics, 45, 1–9.en
dc.identifier.issn1171-6096en_NZ
dc.identifier.urihttps://hdl.handle.net/10289/9475
dc.description.abstractTwo measures of how near an arbitrary function between groups is to being a homomorphism are considered. These have properties similar to conjugates and commutators. The authors show that there is a rich theory based on these structures, and that this theory can be used to unify disparate approaches such as group cohomology and the transfer and to prove theorems. The proof of the Schur-Zassenhaus theorem is recast in this context. We also present yet another proof of Cauchy’s theorem and a very quick approach to Sylow’s theorem.
dc.format.mimetypeapplication/pdf
dc.language.isoen
dc.publisherNZMSen_NZ
dc.relation.urihttp://nzjm.math.auckland.ac.nz/index.php/Arbitrary_Functions_in_Group_Theoryen_NZ
dc.rightsThis article has been published in the journal: New Zealand journal of mathematics. Used with permission.
dc.titleArbitrary functions in group theoryen_NZ
dc.typeJournal Article
dc.relation.isPartOfNew Zealand Journal of Mathematicsen_NZ
pubs.begin-page1
pubs.elements-id128793
pubs.end-page9
pubs.volume45en_NZ


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