Permanent groups. II
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- by Leroy B. Beasley and Larry Cummings PDF
- Proc. Amer. Math. Soc. 40 (1973), 358-364 Request permission
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.References
- LeRoy B. Beasley, Maximal groups on which the permanent is multiplicative, Canad. J. Math. 21 (1969), 495-497; corrigendum, ibid. 22 (1969), 192. MR 0257103, DOI 10.4153/cjm-1970-024-1
- Leroy B. Beasley and Larry Cummings, Permanent groups, Proc. Amer. Math. Soc. 34 (1972), 351–355. MR 419474, DOI 10.1090/S0002-9939-1972-0419474-8
- Marvin Marcus and Henryk Minc, Permanents, Amer. Math. Monthly 72 (1965), 577–591. MR 177000, DOI 10.2307/2313846
- Oscar Zariski and Pierre Samuel, Commutative algebra, Volume I, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, New Jersey, 1958. With the cooperation of I. S. Cohen. MR 0090581
Additional Information
- © Copyright 1973 American Mathematical Society
- 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