Summarize math book using latex -- 2

I need you to write a report for something. - The purpose of my request is making report about book which is called (permutation Groups and Combinatorial Structures) - The report should cover the pages from 1 to 74 (the first three chapters). however the projects (the exercises) are not included. - The total pages of the report are 18 • 2 pages for introduction • 15 pages for the main body • 1 page for the conclusion - the title of the report (Structure of Mathieu Group)  the main point should cover in the report. - Make connection between all the point in the book (definition-theorem- lemma-example) - Talk deeply in 1- Mathieu group of (M11-M12-M22-M23-M24) 2- Transitivity 3- Lemma 1.3,9 4- Theorem 1.5.2 page 12 5- Finite geometries (finite field- finite vector space-the structure of GL(V) and SL(v) Projective spaces and their group- more projective space- the classical simple groups) 6- Designs (four fundamental problems-designs-symmetric designs-extension of designs) 7- Mathieu groups and associated designs. REMARK: 1- please don’t use any other reference or any information outside the book the only reference I have to use is the book. 2- please use Latex to do this report. 3- please no plagiarism in the work.