On the number of cyclic subgroups of a group |
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| Authors: | William Cocke Sara Jensen |
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| Institution: | 1. Department of Mathematics, University of Wisconsin, Madison, Wisconsin, USA;2. cocke@math.wisc.edu;4. Department of Mathematics, Carthage College, Kenosha, Wisconsin, USA |
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| Abstract: | AbstractThere has been some interest in understanding the relationship between the number of cyclic subgroups of a group and its order. This relationship is controlled in many cases by the size of the set of non-squares of the group. We improve upon previously established bounds and classify groups that obtain our new bound. |
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| Keywords: | Cyclic subgroups group theory involutions |
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