How Long to Read Imprimitive Irreducible Modules for Finite Quasisimple Groups

How Long Does it Take to Read Imprimitive Irreducible Modules for Finite Quasisimple Groups?

It takes the average reader 1 hour and 55 minutes to read Imprimitive Irreducible Modules for Finite Quasisimple Groups by Gerhard Hiss

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

Description

Motivated by the maximal subgroup problem of the finite classical groups the authors begin the classification of imprimitive irreducible modules of finite quasisimple groups over algebraically closed fields K. A module of a group G over K is imprimitive, if it is induced from a module of a proper subgroup of G. The authors obtain their strongest results when char(K)=0, although much of their analysis carries over into positive characteristic. If G is a finite quasisimple group of Lie type, they prove that an imprimitive irreducible KG-module is Harish-Chandra induced. This being true for \rm char(K) different from the defining characteristic of G, the authors specialize to the case char(K)=0 and apply Harish-Chandra philosophy to classify irreducible Harish-Chandra induced modules in terms of Harish-Chandra series, as well as in terms of Lusztig series. The authors determine the asymptotic proportion of the irreducible imprimitive KG-modules, when G runs through a series groups of fixed (twisted) Lie type. One of the surprising outcomes of their investigations is the fact that these proportions tend to 1, if the Lie rank of the groups tends to infinity. For exceptional groups G of Lie type of small rank, and for sporadic groups G, the authors determine all irreducible imprimitive KG-modules for arbitrary characteristic of K.

How long is Imprimitive Irreducible Modules for Finite Quasisimple Groups?

Imprimitive Irreducible Modules for Finite Quasisimple Groups by Gerhard Hiss is 114 pages long, and a total of 28,956 words.

This makes it 38% the length of the average book. It also has 35% more words than the average book.

How Long Does it Take to Read Imprimitive Irreducible Modules for Finite Quasisimple Groups Aloud?

The average oral reading speed is 183 words per minute. This means it takes 2 hours and 38 minutes to read Imprimitive Irreducible Modules for Finite Quasisimple Groups aloud.

What Reading Level is Imprimitive Irreducible Modules for Finite Quasisimple Groups?

Imprimitive Irreducible Modules for Finite Quasisimple Groups is suitable for students ages 10 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 Imprimitive Irreducible Modules for Finite Quasisimple Groups?

Imprimitive Irreducible Modules for Finite Quasisimple Groups by Gerhard Hiss is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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