Mathematics A. K. Sharma Group Theory

ISBN 13: 9788171418787

Group Theory

 
9788171418787: Group Theory

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Sharma A.K.
Published by Discovery Publishing House
ISBN 10: 8171418783 ISBN 13: 9788171418787
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Book Description Discovery Publishing House. Book Condition: New. pp. [viii] + 259. Bookseller Inventory # 7729207

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A.K. Sharma
Published by Discovery Publishing House Pvt. Ltd. (2010)
ISBN 10: 8171418783 ISBN 13: 9788171418787
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Book Description Discovery Publishing House Pvt. Ltd., 2010. Hardcover. Book Condition: New. This book "Group Theory" has been written for the students of B.A./B.Sc., students of all Indian Universities. This book is also helpful to the candidate appearing in various competitions like pre Engineering/I.A.S./P.C.S. etc. The book contains : Groups, Homomorphism and Isomorphism, Subgroups of a Group, Permutation, and Normal Subgroups. The proofs of various theorems and examples have been given minute details each chapter of this book contains complete theory and fairly Large number of solved examples. Contents, Preface 1. GROUPS : Introduction, Binary Operation on a Set, Algebraic Structure, Group, Abelian Group or Commutative Group, Finite and Infinite Groups Order of a Finite Group, Some General Properties of Groups, Definition on a Group Based upon Left Axioms, Composition Table for Finite Sets, Addition Modulo M, Multiplication Modulo P, Residue Classes on the Set of Integers, An Alternative Set of Postulates For a Group 2. HOMOMORPHISM AND ISOMORPHISM : Integral of an Element of a Group, Order of an Element of a Group, Homomorphism and Isomorphism of Groups, Isomorphic Groups, Some Important Properties of Homomorphic and Isomorphic Mappings, The Relation of Isomorphism in the Set of All Groups, Transference of Group Structures 3. SUBROUPS OF A GROUP : Complexes and Subgroups of a Groups, Criterion for a Complex to be a Subgroup, Criterion For the Product of Two Subgroups to Be Subgroup, Intersection of Subgroups, Costes, Right Coset Decomposition of a Group, Relation of Congruence Modulo a Subgroup (H) In a Group G, Lagranges`s Theorem, Order of the Product of two Subgroups of Finite Order, Cayley`s, Cyclic, Cyclic Groups, Some Properties of Cyclic Groups 4. PERMUTATION : Definition of Permutation, Cyclic Permutations, Transposition, Even and Odd Permutations 5. NORMAL SUBGROUPS : Normal Subgroups, Conjugate Elements, Quotient Groups, Conjugate Subgroups Printed Pages: 268. Bookseller Inventory # 58935

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3.

A.K. Sharma
Published by Discovery Publishing House Pvt. Ltd. (2010)
ISBN 10: 8171418783 ISBN 13: 9788171418787
New Hardcover Quantity Available: > 20
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A - Z Books
(New Delhi, DELHI, India)
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Book Description Discovery Publishing House Pvt. Ltd., 2010. Hardcover. Book Condition: New. This book "Group Theory" has been written for the students of B.A./B.Sc., students of all Indian Universities. This book is also helpful to the candidate appearing in various competitions like pre Engineering/I.A.S./P.C.S. etc. The book contains : Groups, Homomorphism and Isomorphism, Subgroups of a Group, Permutation, and Normal Subgroups. The proofs of various theorems and examples have been given minute details each chapter of this book contains complete theory and fairly Large number of solved examples. Contents, Preface 1. GROUPS : Introduction, Binary Operation on a Set, Algebraic Structure, Group, Abelian Group or Commutative Group, Finite and Infinite Groups Order of a Finite Group, Some General Properties of Groups, Definition on a Group Based upon Left Axioms, Composition Table for Finite Sets, Addition Modulo M, Multiplication Modulo P, Residue Classes on the Set of Integers, An Alternative Set of Postulates For a Group 2. HOMOMORPHISM AND ISOMORPHISM : Integral of an Element of a Group, Order of an Element of a Group, Homomorphism and Isomorphism of Groups, Isomorphic Groups, Some Important Properties of Homomorphic and Isomorphic Mappings, The Relation of Isomorphism in the Set of All Groups, Transference of Group Structures 3. SUBROUPS OF A GROUP : Complexes and Subgroups of a Groups, Criterion for a Complex to be a Subgroup, Criterion For the Product of Two Subgroups to Be Subgroup, Intersection of Subgroups, Costes, Right Coset Decomposition of a Group, Relation of Congruence Modulo a Subgroup (H) In a Group G, Lagranges`s Theorem, Order of the Product of two Subgroups of Finite Order, Cayley`s, Cyclic, Cyclic Groups, Some Properties of Cyclic Groups 4. PERMUTATION : Definition of Permutation, Cyclic Permutations, Transposition, Even and Odd Permutations 5. NORMAL SUBGROUPS : Normal Subgroups, Conjugate Elements, Quotient Groups, Conjugate Subgroups Printed Pages: 268. Bookseller Inventory # 58935

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A.K. Sharma
Published by Discovery Publishing House Pvt.Ltd, New Delhi (2017)
ISBN 10: 8171418783 ISBN 13: 9788171418787
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Book Description Discovery Publishing House Pvt.Ltd, New Delhi, 2017. Hardcover. Book Condition: New. Bookseller Inventory # 410075

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A.K. Sharma
Published by Discovery Publishing House Pvt. Ltd. (2017)
ISBN 10: 8171418783 ISBN 13: 9788171418787
New Hardcover Quantity Available: 20
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BookVistas
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Book Description Discovery Publishing House Pvt. Ltd., 2017. Hardcover. Book Condition: New. Printed Pages: 268. Bookseller Inventory # Discovery-9788171418787

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A.K. Sharma
Published by Discovery Publishing House Pvt. Ltd. (2017)
ISBN 10: 8171418783 ISBN 13: 9788171418787
New Hardcover Quantity Available: 20
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A - Z Books
(New Delhi, DELHI, India)
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Book Description Discovery Publishing House Pvt. Ltd., 2017. Hardcover. Book Condition: New. Printed Pages: 268. Bookseller Inventory # Discovery-9788171418787

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