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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Permanent groups. II


Authors: Leroy B. Beasley and Larry Cummings
Journal: Proc. Amer. Math. Soc. 40 (1973), 358-364
MSC: Primary 15A30
DOI: https://doi.org/10.1090/S0002-9939-1973-0320030-1
MathSciNet review: 0320030
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Abstract: A permanent group is a group of nonsingular matrices on which the permanent function is multiplicative. We consider only permanent groups which contain the group of nonsingular diagonal matrices. If the underlying field is infinite of characteristic zero or greater than $ n$, then each such permanent group consists only of matrices in which exactly one diagonal has all nonzero entries.


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DOI: https://doi.org/10.1090/S0002-9939-1973-0320030-1
Keywords: Permanent, matrix group
Article copyright: © Copyright 1973 American Mathematical Society