Solvable Radicals
A related subgroup in concept and notation is the solvable radical. The solvable radical is defined to be the largest solvable normal subgroup, and is denoted . There is some variance in the literature in defining the p′-core of G. A few authors in only a few papers (for instance Thompson's N-group papers, but not his later work) define the p′-core of an insoluble group G as the p′-core of its solvable radical in order to better mimic properties of the 2′-core.
Read more about this topic: Core (group), The p-core
Famous quotes containing the words solvable and/or radicals:
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—David Mamet (b. 1947)
“Generally young men are regarded as radicals. This is a popular misconception. The most conservative persons I ever met are college undergraduates. The radicals are the men past middle life.”
—Woodrow Wilson (1856–1924)