Normal Hall Subgroups
Any normal Hall subgroup H of a finite group G possesses a complement, that is there is some subgroup K of G which intersects H trivially and such that HK=G (so G is isomorphic to a semi-direct product of H and K).
Read more about this topic: Hall Subgroup
Famous quotes containing the words normal and/or hall:
“You have promise, Mlle. Dubois, but you must choose between an operatic career and what is usually called “a normal life.” Though why it is so called is beyond me.”
—Eric Taylor, Leroux, and Arthur Lubin. M. Villeneuve (Frank Puglia)
“When Western people train the mind, the focus is generally on the left hemisphere of the cortex, which is the portion of the brain that is concerned with words and numbers. We enhance the logical, bounded, linear functions of the mind. In the East, exercises of this sort are for the purpose of getting in tune with the unconscious—to get rid of boundaries, not to create them.”
—Edward T. Hall (b. 1914)