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Minimum bases for permutation groups: The greedy approximation

✍ Scribed by Kenneth D Blaha


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
588 KB
Volume
13
Category
Article
ISSN
0196-6774

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A base of a permutation group G is a sequence B of points from the permutation domain such that only the identity of G fixes B pointwise. We show that primitive permutation groups with no alternating composition factors of degree greater than d and no classical composition factors of rank greater th

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✍ Manfred GΓΆbel πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 482 KB

This note presents a detailed analysis and a constructive combinatorial description of SAGBI bases for the R-algebra of G-invariant polynomials. Our main result is a ground ring independent characterization of all rings of polynomial invariants of permutation groups G having a finite SAGBI basis.