How Long to Read The Reductive Subgroups of $F_4$

How Long Does it Take to Read The Reductive Subgroups of $F_4$?

It takes the average reader 1 hour and 30 minutes to read The Reductive Subgroups of $F_4$ by David I. Stewart

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

Description

Let $G=G(K)$ be a simple algebraic group defined over an algebraically closed field $K$ of characteristic $p\geq 0$. A subgroup $X$ of $G$ is said to be $G$-completely reducible if, whenever it is contained in a parabolic subgroup of $G$, it is contained in a Levi subgroup of that parabolic. A subgroup $X$ of $G$ is said to be $G$-irreducible if $X$ is in no proper parabolic subgroup of $G$; and $G$-reducible if it is in some proper parabolic of $G$. In this paper, the author considers the case that $G=F_4(K)$. The author finds all conjugacy classes of closed, connected, semisimple $G$-reducible subgroups $X$ of $G$. Thus he also finds all non-$G$-completely reducible closed, connected, semisimple subgroups of $G$. When $X$ is closed, connected and simple of rank at least two, he finds all conjugacy classes of $G$-irreducible subgroups $X$ of $G$. Together with the work of Amende classifying irreducible subgroups of type $A_1$ this gives a complete classification of the simple subgroups of $G$. The author also uses this classification to find all subgroups of $G=F_4$ which are generated by short root elements of $G$, by utilising and extending the results of Liebeck and Seitz.

How long is The Reductive Subgroups of $F_4$?

The Reductive Subgroups of $F_4$ by David I. Stewart is 88 pages long, and a total of 22,704 words.

This makes it 30% the length of the average book. It also has 28% more words than the average book.

How Long Does it Take to Read The Reductive Subgroups of $F_4$ Aloud?

The average oral reading speed is 183 words per minute. This means it takes 2 hours and 4 minutes to read The Reductive Subgroups of $F_4$ aloud.

What Reading Level is The Reductive Subgroups of $F_4$?

The Reductive Subgroups of $F_4$ 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 The Reductive Subgroups of $F_4$?

The Reductive Subgroups of $F_4$ by David I. Stewart is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

To buy The Reductive Subgroups of $F_4$ by David I. Stewart on Amazon click the button below.