Splitting in finite metacyclic groups
It is well known that all finite metacyclic groups have a presentation of the form G = ‹a,x,aᵐ = 1,xˢaᵗ = 1,aˣ = aʳ›. The primary question that occupies this dissertation is determining under what conditions a group with such a presentation splits over the given normal subgroup ‹a›. Necessary and su...
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| Language: | en_US |
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The University of Arizona.
1999
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| Online Access: | http://hdl.handle.net/10150/289018 |