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Discrete Mathematics and Combinatorics Commons™
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Articles 31 - 33 of 33
Full-Text Articles in Discrete Mathematics and Combinatorics
Generalized Conjugacy Classes, Pramod N. Achar
Generalized Conjugacy Classes, Pramod N. Achar
Mathematical Sciences Technical Reports (MSTR)
Generalized conjugation is the action of a group on its underlying set given by (g,x) -> p(g)xg-1, where p is some fixed endomorphism of G. Here we study combinatorial properties of the sizes of the orbits of the preceding action. In particular, we reduce the problem to a simpler case if p has nontrivial kernel, or if it is an inner automorphism, and we give a construction that allows a partial analysis in the general case.
Cwatsets: Weights, Cardinalities, And Generalizations, Richard Mohr
Cwatsets: Weights, Cardinalities, And Generalizations, Richard Mohr
Mathematical Sciences Technical Reports (MSTR)
This report provides an upper bound on the average weight of an element in a cwatset and discusses the ratio of the cardinality of a cwatset to the cardinality of the group containing the cwatset. The concept of a generalized cwatset is also introduced.
Hypergraph Representations And Orders Of Cwatsets, Julie Kerr
Hypergraph Representations And Orders Of Cwatsets, Julie Kerr
Mathematical Sciences Technical Reports (MSTR)
We determine upper bounds on the order of cwatsets of odd order.