Groups for Undergraduates

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9789810221058: Groups for Undergraduates

In these lecture notes the student learns basic theorems of the subject (due to Sylow, Burnside, Schur and Frobenius). More importantly, the student learns to use the theorems in various combinations, to discover for himself the groups of reasonably small order. In examples, presentations of the groups of order 1-31 and 33-42 are constructed.

Once the groups are presented abstractly, the problem is not done: one needs to know how each abstract group may arise as a group of permutations or matrices. Theorems and techniques of representation theory are given which can do this for any group the student may have constructed in the earlier chapters -- and the student ends up building the actual representations (not only the characters). In a series of examples, which the student may carry further, all the matrix representations are constructed for the groups of order less than 13.

For students who are already familiar with homomorphisms, cosets, Lagrange's theorem, and finite abelian groups, the text may be used alone. For any group theory course, at least one text such as this one, containing lots of examples, is strongly recommended.

The book is written in a lucid, straightforward style. The subject matter is presented from a student's perspective and constantly demands the student's involvement. Both these strategies are highly appropriate for a book of lecture notes and guarantee the student's understanding of the mathematical concepts.

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"... especially useful in the classroom as an illustration of the power of the most fundamental techniques of group theory. Authors of textbooks in group theory should buy it as a must..." --M Deaconescu, Mathematics Abstracts

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Book Description World Scientific Publishing Co Pte Ltd, Singapore, 1994. Paperback. Book Condition: New. Language: English . Brand New Book. In these lecture notes the student learns basic theorems of the subject (due to Sylow, Burnside, Schur and Frobenius). More importantly, the student learns to use the theorems in various combinations, to discover for himself the groups of reasonably small order. In examples, presentations of the groups of order 1-31 and 33-42 are constructed.Once the groups are presented abstractly, the problem is not done: one needs to know how each abstract group may arise as a group of permutations or matrices. Theorems and techniques of representation theory are given which can do this for any group the student may have constructed in the earlier chapters - and the student ends up building the actual representations (not only the characters). In a series of examples, which the student may carry further, all the matrix representations are constructed for the groups of order less than 13.For students who are already familiar with homomorphisms, cosets, Lagrange s theorem, and finite abelian groups, the text may be used alone. For any group theory course, at least one text such as this one, containing lots of examples, is strongly recommended.The book is written in a lucid, straightforward style. The subject matter is presented from a student s perspective and constantly demands the student s involvement. Both these strategies are highly appropriate for a book of lecture notes and guarantee the student s understanding of the mathematical concepts. Bookseller Inventory # AAC9789810221058

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Book Description Paperback. Book Condition: New. Paperback. In these lecture notes the student learns basic theorems of the subject (due to Sylow, Burnside, Schur and Frobenius). More importantly, the student learns to use the theorems in various c.Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 180 pages. 0.249. Bookseller Inventory # 9789810221058

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Book Description World Scientific Publishing Company. Paperback. Book Condition: New. Paperback. 180 pages. Dimensions: 8.4in. x 6.0in. x 0.4in.In these lecture notes the student learns basic theorems of the subject (due to Sylow, Burnside, Schur and Frobenius). More importantly, the student learns to use the theorems in various combinations, to discover for himself the groups of reasonably small order. In examples, presentations of the groups of order 1-31 and 33-42 are constructed. Once the groups are presented abstractly, the problem is not done: one needs to know how each abstract group may arise as a group of permutations or matrices. Theorems and techniques of representation theory are given which can do this for any group the student may have constructed in the earlier chapters -- and the student ends up building the actual representations (not only the characters). In a series of examples, which the student may carry further, all the matrix representations are constructed for the groups of order less than 13. For students who are already familiar with homomorphisms, cosets, Lagranges theorem, and finite abelian groups, the text may be used alone. For any group theory course, at least one text such as this one, containing lots of examples, is strongly recommended. The book is written in a lucid, straightforward style. The subject matter is presented from a students perspective and constantly demands the students involvement. Both these strategies are highly appropriate for a book of lecture notes and guarantee the students understanding of the mathematical concepts. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Bookseller Inventory # 9789810221058

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Book Description World Scientific Publishing Co Pte Ltd. Paperback. Book Condition: new. BRAND NEW, Groups for Undergraduates, John Moody, In these lecture notes, the student learns basic theorems of the subject (due to Sylow, Burnside, Schur and Frobenius). More importantly, the student learns to use the theorems in various combinations, to discover for himself the groups of reasonably small order. In examples, presentations of the groups of order 1-31 and 33-42 are constructed. Once the groups are presented abstractly, the problem is not done: one needs to know how each abstract group may arise as a group of permutations or matrices. Theorems and techniques of representation theory are given which can do this for any group the student may have constructed in the earlier chapters - and the student ends up building the actual representations (not only the characters). In a series of examples, which the student may carry further, all the matrix representations are constructed for the groups of order less than 13. For students who are already familiar with homomorphisms, cosets, Lagrange's theorem, and finite abelian groups, the text may be used alone. For any group theory course, at least one text such as this one, containing lots of examples, is strongly recommended. The book is written in a lucid, straightforward style. The subject matter is presented from a student's perspective and constantly demands the student's involvement. Both these strategies are highly appropriate for a book of lecture notes and guarantee the student's understanding of the mathematical concepts. Bookseller Inventory # B9789810221058

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