For a given quadric polynomial p(t), the necessary and sufficient conditions are obtained for operator partial matrices of the form (~A C) to be completed to an operator T such that p(T) = 0. Moreover, all such poss...For a given quadric polynomial p(t), the necessary and sufficient conditions are obtained for operator partial matrices of the form (~A C) to be completed to an operator T such that p(T) = 0. Moreover, all such possible completions, if exist, are presented parametrically.展开更多
In [l], [2], the authors studied the finite solvable group in which every subnormal subgroup is quasinormal (i.e., (s-g)-group) and the finite solvable group in which every subnormal subgroup is s-quasinormal (i.e., (...In [l], [2], the authors studied the finite solvable group in which every subnormal subgroup is quasinormal (i.e., (s-g)-group) and the finite solvable group in which every subnormal subgroup is s-quasinormal (i.e., (s-q)-group). In this paper, we shall characterize finite solvable (q) -groups and (s-q)-groups by general nilpotent groups and give the classification of inner (s-q)-groups.展开更多
基金Supported by NNSFC !(19671055) and PNSFS! (981009)
文摘For a given quadric polynomial p(t), the necessary and sufficient conditions are obtained for operator partial matrices of the form (~A C) to be completed to an operator T such that p(T) = 0. Moreover, all such possible completions, if exist, are presented parametrically.
文摘In [l], [2], the authors studied the finite solvable group in which every subnormal subgroup is quasinormal (i.e., (s-g)-group) and the finite solvable group in which every subnormal subgroup is s-quasinormal (i.e., (s-q)-group). In this paper, we shall characterize finite solvable (q) -groups and (s-q)-groups by general nilpotent groups and give the classification of inner (s-q)-groups.
