نتایج جستجو برای: conjugacy class
تعداد نتایج: 401635 فیلتر نتایج به سال:
The generalized Pauli group and its normalizer, the Clifford group, have a rich mathematical structure which is relevant to the problem of constructing symmetric informationally complete POVMs (SIC-POVMs). To date, almost every known SIC-POVM fiducial vector is an eigenstate of a “canonical” unitary in the Clifford group. I show that every canonical unitary in prime dimensions p > 3 lies in the...
LetN be a normal subgroup of a groupG and let p be a prime. We prove that if the p-part of jx j is a constant for every prime-power order element x 2 N n Z.N /, then N is solvable and has normal p-complement.
Four infinite families of 2-groups are presented, all of whose members possess an outer automorphism that preserves conjugacy classes. The groups in these families are central extensions of their predecessors by a cyclic group of order 2. In particular, for each integer r > 1, there is precisely one 2-group of nilpotency class r in each of the four families. All other known families of 2-groups...
W. Arveson has described a cocycle conjugacy class U(α) of E0-semigroup α on B(H) which is a factor of type I. Under some conditions on α there is a E0-semigroup β ∈ U(α) being a flow of shifts in the sense of R.T.Powers (see [11]). We study quasifree endomorphisms semigroups α on the hyperfinite factor M = π(A(K)) generated by the representation π of the algebra of the canonical anticommutatio...
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