A combinatorial application of the Frobenius inequality on rank function to maximum set of commuting nilpotent matrices
Wang, Edward T. H.; Wang, Edward T. H.; Wilfrid Laurier University
Журнал:
Linear and Multilinear Algebra
Дата:
1979
Аннотация:
In this note we show how the Frobenius inequality on rank function can be applied to determine the maximum cardinality of a setS of pairwise-commutative n×n nilpotent matrices with the property that no finite product of distinct elements of S equals zero.
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