A generalized Hughes property of finite groups.
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Bryce, Robert; Fedri, V; Serena, L
Description
A Hughes cover for exponent p (p a prime number) of a finite group is a union of subgroups whose (non-empty) complement consists of elements of order p. A proper Hughes subgroup is an instance of a Hughes cover; and its parent group is soluble by a well-known result of Hughes and Thompson. More generally an earlier result of the authors shows that a group with a Hughes cover of fewer than p subgroups is soluble. This article treats the insoluble groups having a Hughes cover for exponent p with...[Show more]
Collections | ANU Research Publications |
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Date published: | 2003 |
Type: | Journal article |
URI: | http://hdl.handle.net/1885/85886 |
Source: | Communications in Algebra |
DOI: | 10.1081/AGB-120022788 |
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01_Bryce_A_generalized_Hughes_property_2003.pdf | 979.75 kB | Adobe PDF | Request a copy |
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