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Regular Subgroups of Primitive Permutation Groups

The authors address the classical problem of determining finite primitive permutation groups G with a regular subgroup B. The main theorem;

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Permutation Groups and Cartesian Decompositions

Permutation groups, their fundamental theory and applications are discussed in this introductory book. It focuses on those groups that are;

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Group Theory

: Isomorphism Theorems, Direct Sums, p-Groups and p-Subgroups, Free Groups and Free Products, Permutation Groups, Transformations and Subgroups, Abelian;

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Fundamental Concepts of Abstract Algebra

functions, the text proceeds to an examination of all types of groups, including cyclic groups, subgroups, permutation groups, normal subgroups;

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Moufang Sets and Structurable Division Algebras

A Moufang set is essentially a doubly transitive permutation group such that each point stabilizer contains a normal subgroup which;

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Finite Structures with Few Types. (AM-152), Volume 152

This book applies model theoretic methods to the study of certain finite permutation groups, the automorphism groups of structures for a;

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Complementation of Normal Subgroups

Starting with the Schur-Zassenhaus theorem, this monograph documents a wide variety of results conce;...

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Permutation Groups

Permutation groups are one of the oldest topics in algebra. However, their study has recently been revolutionised by new developments;

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Permutation Groups

Permutation groups are one of the oldest topics in algebra. However, their study has recently been revolutionised by new developments;

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Discovering Group Theory

extra support in this transition to advanced mathematics. The book gives a number of examples of groups and subgroups, including permutation;

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Discovering Group Theory

permutation groups, dihedral groups, and groups of integer residue classes. The book goes on to study cosets and finishes with the first isomorphism;

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Consequence of Schreier-Sims Algorithm in Solving Rubik's Cube

Successful computation with a permutation group is largely depended on our ability to find an effective representative for the group;

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Maximal Subgroups Of The Low-Dimensional Finite Classical Gr

This book classifies the maximal subgroups of the almost simple finite classical groups in dimension;...

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Australian Mathematical Society Lecture Series

This book presents a complete classification of the transitive permutation representations of rank at most five of the sporadic simple;

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Permutation Group Algorithms

Permutation group algorithms are one of the workhorses of symbolic algebra systems computing with groups. They played an indispensable role;

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On Non-Generic Finite Subgroups of Exceptional Algebraic Groups

The study of finite subgroups of a simple algebraic group $G$ reduces in a sense to those which are ;...

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Oval Track and Other Permutation Puzzles

Popular puzzles such as the Rubik's cube and so-called oval track puzzles give a concrete representation to the theory of permutation;

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Classical Groups, Derangements and Primes

A classical theorem of Jordan states that every finite transitive permutation group contains a derangement. This existence result has;

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London Mathematical Society Lecture Note Series

With the classification of the finite simple groups complete, much work has gone into the study of m;...

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Student Solutions Manual for Gallian's Contemporary Abstract Algebra

; Subgroups 4. Cyclic Groups 5. Permutation Groups 6. Isomorphisms 7. Cosets and Lagrange's Theorem 8. External Direct Products 9. Normal;

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Introduction to Arithmetic Groups

This book provides a gentle introduction to the study of arithmetic subgroups of semisimple Lie grou;...

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Introduction to Arithmetic Groups

This book provides a gentle introduction to the study of arithmetic subgroups of semisimple Lie grou;...

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Synthesis of Quantum Circuits vs. Synthesis of Classical Reversible Circuits

circuit, acting on w bits, is described by a 2w x 2w permutation matrix. The permutation matrices are studied in group theory of finite groups;

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Permutation Groups

This volume by a prominent authority on permutation groups consists of lecture notes that provide a self-contained account of distinct;

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Representations of Solvable Groups

groups. The authors include proofs of Brauer's height zero conjecture and the Alperin-McKay conjecture for solvable groups. Gluck's permutation;

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A Course in the Theory of Groups

permutation groups, representations of groups, finite and infinite soluble groups, group extensions, generalizations of nilpotent and soluble groups;

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Introduction To The Theory Of Groups

of permutations, isomorphism, cyclic subgroups, simple groups of movements, invariant subgroups, and partitioning of groups. An appendix provides;

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