Browsing College of Arts & Sciences by Subject "Algebra"
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"Inertia of the stein transformation with respect to some nonderogatory matrices"
(Elsevier Science, 1996-07)Let A be an n-by-n nonderogatory matrix all of whose eigenvalues lie on the unit circle, and let and be nonnegative integers with + = n. Let ′ and ′ be positive integers and ′ a nonnegative integer with ′ + ′ + ... -
"On the Taketa bound for normally monomial p-groups of maximal class"
(Elsevier Science, 2004-07-15)A longstanding problem in the representation theory of finite solvable groups, sometimes called the Taketa problem, is to find strong bounds for the derived length dl(G) in terms of the number |cd(G)| of irreducible character ...