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On three
questions concerning groups with perfect order subsets
Lenny Jones and Kelly Toppin
Vol. 4 (2011), No. 3, 251–261
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Abstract |
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In a finite group, an order subset is a maximal set of elements of the same order. We discuss three questions about finite groups having the property that the cardinalities of all order subsets of divide the order of . We provide a new proof to one of these questions and evidence to support answers to the other two questions. |
Keywords
perfect order subsets, abelian group, symmetric group
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Mathematical Subject Classification 2000
Primary: 20F99, 11Y05
Secondary: 11A51
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Milestones
Received: 23 July 2010
Accepted: 15 June 2011
Published: 13 March 2012
Communicated by Kenneth S. Berenhaut
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Authors |
| Lenny Jones | |
| Department of Mathematics Shippensburg University 1871 Old Main Drive Shippensburg, PA 17257 United States |
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| Kelly Toppin | |
| Department of Mathematics Shippensburg University Shippensburg, PA 17257 United States |
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