Extension
The result extends to the case that G is the amalgamated product along a common subgroup A, under the condition that H meets every conjugate of A only in the identity element.
Read more about this topic: Kurosh Subgroup Theorem
Famous quotes containing the word extension:
“Slavery is founded on the selfishness of mans natureopposition to it on his love of justice. These principles are in eternal antagonism; and when brought into collision so fiercely as slavery extension brings them, shocks and throes and convulsions must ceaselessly follow.”
—Abraham Lincoln (18091865)
“The medium is the message. This is merely to say that the personal and social consequences of any mediumthat is, of any extension of ourselvesresult from the new scale that is introduced into our affairs by each extension of ourselves, or by any new technology.”
—Marshall McLuhan (19111980)
“A dense undergrowth of extension cords sustains my upper world of lights, music, and machines of comfort.”
—Mason Cooley (b. 1927)