How Long to Read Representation Theory of Finite Group Extensions

How Long Does it Take to Read Representation Theory of Finite Group Extensions?

It takes the average reader 5 hours and 56 minutes to read Representation Theory of Finite Group Extensions by Tullio Ceccherini-Silberstein

Assuming a reading speed of 250 words per minute. Learn more

Description

This monograph adopts an operational and functional analytic approach to the following problem: given a short exact sequence (group extension) 1 → N → G → H → 1 of finite groups, describe the irreducible representations of G by means of the structure of the group extension. This problem has attracted many mathematicians, including I. Schur, A.H. Clifford, and G. Mackey and, more recently, M. Isaacs, B. Huppert, Y.G. Berkovich & E.M. Zhmud, and J.M.G. Fell & R.S. Doran. The main topics are, on the one hand, Clifford Theory and the Little Group Method (of Mackey and Wigner) for induced representations, and, on the other hand, Kirillov’s Orbit Method (for step-2 nilpotent groups of odd order) which establishes a natural and powerful correspondence between Lie rings and nilpotent groups. As an application, a detailed description is given of the representation theory of the alternating groups, of metacyclic, quaternionic, dihedral groups, and of the (finite) Heisenberg group. The Little Group Method may be applied if and only if a suitable unitary 2-cocycle (the Mackey obstruction) is trivial. To overcome this obstacle, (unitary) projective representations are introduced and corresponding Mackey and Clifford theories are developed. The commutant of an induced representation and the relative Hecke algebra is also examined. Finally, there is a comprehensive exposition of the theory of projective representations for finite Abelian groups which is applied to obtain a complete description of the irreducible representations of finite metabelian groups of odd order.

How long is Representation Theory of Finite Group Extensions?

Representation Theory of Finite Group Extensions by Tullio Ceccherini-Silberstein is 347 pages long, and a total of 89,179 words.

This makes it 117% the length of the average book. It also has 109% more words than the average book.

How Long Does it Take to Read Representation Theory of Finite Group Extensions Aloud?

The average oral reading speed is 183 words per minute. This means it takes 8 hours and 7 minutes to read Representation Theory of Finite Group Extensions aloud.

What Reading Level is Representation Theory of Finite Group Extensions?

Representation Theory of Finite Group Extensions is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Representation Theory of Finite Group Extensions?

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