The class-breadth conjecture revisited
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Eick, Bettina; Newman, Michael; O'Brien, E A
Description
The class-breadth conjecture for groups with prime-power order was formulated by Leedham-Green, Neumann and Wiegold in 1969. We construct a new counter-example to the conjecture: it has order 219 and is a quotient of a 4-dimensional 2-uniserial space group. We translate the conjecture to p-uniserial space groups, prove that these have finite cobreadth, and provide an explicit upper bound. We develop an algorithm to decide the conjecture for p-uniserial space groups, and use this to show that...[Show more]
Collections | ANU Research Publications |
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Date published: | 2006 |
Type: | Journal article |
URI: | http://hdl.handle.net/1885/27828 |
Source: | Journal of Algebra |
DOI: | 10.1016/j.jalgebra.2006.03.010 |
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01_Eick_The_class-breadth_conjecture_2006.pdf | 111.73 kB | Adobe PDF | Request a copy |
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