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Physical Sciences and Mathematics Commons™
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Full-Text Articles in Physical Sciences and Mathematics
An Elementary Proof That Finite Groups Lack Unique Product Structures, Matthew Cushman
An Elementary Proof That Finite Groups Lack Unique Product Structures, Matthew Cushman
Mathematical Sciences Technical Reports (MSTR)
We provide an elementary proof that no nontrivial finite group has a unique m-element product structure for any m greater than or equal to 2.
Conjugacy Classes Of Triple Products In Finite Groups, Kevin Hutson, Emily Salvo
Conjugacy Classes Of Triple Products In Finite Groups, Kevin Hutson, Emily Salvo
Mathematical Sciences Technical Reports (MSTR)
For an underlying finite group G, we establish estimates on the number of triples that bind a certain set to one conjugacy class, or else breaks it into two conjugacy classes.