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Conjugacy classes may be referred to by describing them, or more briefly by abbreviations such as "6A", meaning "a certain conjugacy class with elements of order 6", and "6B" would be a different conjugacy class with elements of order 6; the conjugacy class 1A is the conjugacy class of the identity which has order 1.
In the mid-19th century, educator Luther Whiting Mason established music education in the schools of Cincinnati, and become a prominent author of textbooks. His National Music Course, first published in 1870, was a widely adopted standard part of many American curricula. Music education continued to expand across the country, and gained in ...
S 6 has exactly one (class) of outer automorphisms: Out(S 6) = C 2. To see this, observe that there are only two conjugacy classes of S 6 of size 15: the transpositions and those of class 2 3. Each element of Aut(S 6) either preserves each of these conjugacy classes, or exchanges them. Any representative of the outer automorphism constructed ...
Music education is a field of practice in which educators are trained for careers as elementary or secondary music teachers, school or music conservatory ensemble directors. Music education is also a research area in which scholars do original research on ways of teaching and learning music.
Education in the performing arts is a key part of many primary and secondary education curricula and is also available as a specialisation at the tertiary level. [1] [citation needed] The performing arts, which include, but are not limited to dance, music and theatre, are key elements of culture and engage participants at a number of levels.
The irreducible complex characters of a finite group form a character table which encodes much useful information about the group G in a concise form. Each row is labelled by an irreducible character and the entries in the row are the values of that character on any representative of the respective conjugacy class of G (because characters are class functions).
The Hawaii Music Curriculum Program began in 1968 under the sponsorship of the Hawaii Curriculum Center in Honolulu. Its purpose was to create a logical, continuous educational program ensuring the competent guidance of the music education of all children in the state's public schools and to test and assemble the materials needed by schools to realize this program.
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