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Full-Text Articles in Physical Sciences and Mathematics
Conjugacy Of Embeddings Of Alternating Groups In Exceptional Lie Groups, Darrin D. Frey, Alex Ryba
Conjugacy Of Embeddings Of Alternating Groups In Exceptional Lie Groups, Darrin D. Frey, Alex Ryba
Science and Mathematics Faculty Publications
We discuss conjugacy classes of embeddings of Alternating groups in Exceptional Lie groups. We settle the count of classes of embeddings in E8 of a subgroup Alt10 and its double cover. This involves computation and the reduction of the problems to relative eigenvector problems. We update previously published tables of embeddings. We comment on the improvements present in our table and on the remaining unsettled conjugacy questions.
On Comparability Of Bigrassmannian Permutations, John Engbers, Adam J. Hammett
On Comparability Of Bigrassmannian Permutations, John Engbers, Adam J. Hammett
Science and Mathematics Faculty Publications
No abstract provided.
I'Ve Got Your Number: A Multiple Choice Guessing Game, Ryan Cushman, Adam J. Hammett
I'Ve Got Your Number: A Multiple Choice Guessing Game, Ryan Cushman, Adam J. Hammett
Science and Mathematics Faculty Publications
We consider the following guessing game: fix positive integers k, m, and n. Player A ("Ann") chooses a (uniformly) random integer from the set {1,2,3,...,n}, but does not reveal it to Player B ("Gus"). Gus then presents Ann with a k-option multiple choice question about which number she chose, to which Ann responds truthfully. After m such questions have been asked, Gus must attempt to guess the number chosen by Ann. Gus wins if he guesses Ann's number. The purpose of this note is to find all canonical m-question algorithms which maximize the probability of Gus winning the game. An …