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# maximal factorizations of the finite simple groups and their automorphism groups

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Written in English

### Subjects:

• Finite simple groups.,
• Maximal subgroups.,
• Factorization (Mathematics),
• Automorphisms.

## Book details:

Edition Notes

Classifications The Physical Object Statement M.W. Liebeck, C.E. Praeger, and J. Saxl.. Series Memoirs of the American Mathematical Society -- no. 432 Contributions Praeger, Cheryl E., Saxl, Jan., American Mathematical Society. LC Classifications QA3, QA171 Pagination p. cm. Open Library OL22569014M ISBN 10 0821824945

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The Maximal Factorizations of the Finite Simple Groups and Their Automorphism Groups, Issue Volume of American Mathematical Society: Memoirs of the American Mathematical Society. Issue of Memoirs of the AMS Series. Memoirs of the American Mathematical Society. The Maximal Factorizations of the Finite Simple Groups and Their Automorphism Groups Share this page Jan Saxl; Cheryl E. Praeger. Table of Contents. Search. Go > Advanced search. Table of Contents The Maximal Factorizations of the Finite Simple Groups and Their Automorphism Groups Base Product Code Keyword List: Book Series Name: Memoirs. The book The maximal factorizations of the finite simple groups and their automorphism groups (by Martin W. Liebeck, Cheryl E. Praeger and Jan Saxl) provides a classification of all the triples $(G,A,B)$ such that: $G$ is a finite simple group, $A$ and $B$ are maximal subgroups of $G$. In another paper [15] the maximal factorizations of all the other finite simple groups and their automorphism groups are classified (where the factorization G = AB is maximal if both A and B are maximal subgroups of G). The results of this paper and [15] are used in [16] Cited by:

(For G,(q) these factorizations are already known [20, ) In another paper [ the maximal factorizations of all the other finite simple groups and their automorphism groups are classified (where the factorization G = AB is maximal if both A and B are maximal subgroups of G). This paper surveys some results in the area of maximal subgroups of the finite simple groups and their automorphism groups. The first two sections are concerned with maximal subgroups of the alternating and symmetric groups. We outline the Reduction Theorem and discuss the maximality of primitive groups in the corresponding symmetric kauainenehcp.com by: 5. Using the answer of Geoff and by browsing the book The maximal factorizations of the finite simple groups and their automorphism groups (by Martin W. Liebeck, Cheryl E. Praeger and Jan Saxl), the finite simple groups without factorization are the following: Every cyclic group of prime order. Mar 01,  · AbstractThe classification of p-groups of maximal class still is a wide open problem. Coclass Conjecture W proposes a way to approach such a classification: It suggests that the coclass graph 𝒢 ${\mathcal{G}}$ associated with the p-groups of maximal class can be determined from a finite subgraph using certain periodic kauainenehcp.com by: 1.

We survey some recent results on maximal subgroups of the finite simple groups. In particular, we describe progress on several of the problems raised by Aschbacher in [ 3]. ‘The factorizations of the finite simple groups and their automorphism groups’, in preparation. Google Scholar [68] ‘Maximal subgroups of automorphism groups Cited by: Factorizations of Primitive Permutation Groups. Author links open overlay panel Barbara Baumeister. Show more. The low-dimensional finite simple classical groups and their subgroups. J. SaxlThe maximal factorizations of the finite simple groups and their automorphism groups. Mem. Amer. Math. Soc, 86 () Google Scholar. kauainenehcp.com by: The maximal factorizations of the finite simple groups and their automorphism groups. The main result describes completely the maximal factorizations of all the finite simple groups and their automorphism groups. As a consequence, a classification of the maximal subgroups of the finite alternating and symmetric groups is obtained. Get this from a library! The maximal factorizations of the finite simple groups and their automorphism groups. [M W Liebeck; Cheryl E Praeger; J Saxl].