Permanent groups. II-Reference-Cited by-同舟云学术

Permanent groups. II

Published:1973 Issue:2 Volume:40 Page:358-364
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Beasley Leroy B.,Cummings Larry

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 n , then each such permanent group consists only of matrices in which exactly one diagonal has all nonzero entries.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1973-040-02/S0002-9939-1973-0320030-1/S0002-9939-1973-0320030-1.pdf

Reference4 articles.

1. Maximal groups on which the permanent is multiplicative;Beasley, LeRoy B.;Canad. J. Math. 21 (1969), 495-497; corrigendum, ibid.,1969

2. Permanent groups;Beasley, Leroy B.;Proc. Amer. Math. Soc.,1972

3. Permanents;Marcus, Marvin;Amer. Math. Monthly,1965

4. The University Series in Higher Mathematics;Zariski, Oscar,1958

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