Analyses of two-state phenotypic change are common in ecological research. Some examples include phenotypic changes due to phenotypic plasticity between two environments, changes due to predator/non-predator character shifts, character displacement via competitive interactions, and patterns of sexual dimorphism. However, methods for analyzing phenotypic change for multivariate data have not bee...

This paper deals with the amount of disorder that is left in a permutation after one of its elements has been selected with quickselect with or without median-of-three pivoting. Five measures of disorder are considered: inversions, cycles of length less than or equal to some m, cycles of any length, expected cycle length, and the distance to the identity permutation. “Grand averages” for each m...

Authenticated encryption schemes establish both privacy and authenticity. This paper specifies a family of the dedicated authenticated encryption schemes, Artemia. It is an online nonce-based authenticated encryption scheme which supports the associated data. Artemia uses the permutation based mode, JHAE, that is provably secure in the ideal permutation model. The scheme does not require the in...

The microwave spectra of (CH(3))(3)(74)Ge(35)Cl and its isotopologues (CH(3))(3)(72)Ge(35)Cl and (CH(3))(3)(74)Ge(37)Cl have been studied in the frequency range from 3-24 GHz revealing the complex internal dynamics of this organometallic molecule with three internal rotors. The assignment of the complex spectrum has been facilitated by permutation-inversion theory and ab initio calculations. Th...

We investigate the source algebra class of a p-block with cyclic defect groups group finite group. By work Linckelmann this is parametrized by Brauer tree block together sign function on its vertices and an endo-permutation module prove that can be read off from character table also trivial for all p-blocks quasisimple simple quotient which sporadic group, alternating Lie type in defining chara...

We study the generating polynomial of flag major index with each one-dimensional character, called signed Mahonian polynomial, over colored permutation group, wreath product a cyclic group symmetric group. Using insertion lemma Han and Haglund–Loehr–Remmel extension established by Eu et al., we derive quotients parabolic subgroups for variety systems coset representatives in terms subsequence r...

We prove a broad generalization of theorem W. Burnside about the existence real characters finite groups to permutation characters. If G is group, under necessary hypothesis O 2 ′ ( ) = , we can also give some control on parity multiplicities constituents (a result that needs Classification Finite Simple Groups). Along way, new characterization 2-closed using odd-order elements group. All this ...

We develop the technique of reduced word manipulation to give a range of results concerning reduced words and permutations more generally. We prove a broad connection between pattern containment and reduced words, which specializes to our previous work for vexillary permutations. We also analyze general tilings of Elnitsky’s polygon, and demonstrate that these are closely related to the pattern...

In the building of a finite group of Lie type we consider the incidence relations defined by oppositeness of flags. Such a relation gives rise to a homomorphism of permutation modules (in the defining characteristic) whose image is a simple module for the group. The p-rank of the incidence relation is then the dimension of this simple module. We give some general reductions towards the determin...