| eBook ISBN: | 978-1-4704-0405-5 |
| Product Code: | MEMO/170/804.E |
| List Price: | $68.00 |
| MAA Member Price: | $61.20 |
| AMS Member Price: | $40.80 |
| eBook ISBN: | 978-1-4704-0405-5 |
| Product Code: | MEMO/170/804.E |
| List Price: | $68.00 |
| MAA Member Price: | $61.20 |
| AMS Member Price: | $40.80 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 170; 2004; 133 ppMSC: Primary 20
For every finitely generated recursively presented group \(\mathcal G\) we construct a finitely presented group \(\mathcal H\) containing \(\mathcal G\) such that \(\mathcal G\) is (Frattini) embedded into \(\mathcal H\) and the group \(\mathcal H\) has solvable conjugacy problem if and only if \(\mathcal G\) has solvable conjugacy problem. Moreover \(\mathcal G\) and \(\mathcal H\) have the same r.e. Turing degrees of the conjugacy problem. This solves a problem by D. Collins.
ReadershipGraduate students and research mathematicians interested in algebra and algebraic geometry.
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Table of Contents
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Chapters
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1. Introduction
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2. List of relations
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3. The first properties of $\mathcal {H}$
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4. The group $\mathcal {H}_2$
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5. The word problem in $\mathcal {H}_1$
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6. Some special diagrams
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7. Computations of $\mathcal {S} \cup \bar {\mathcal {S}}$
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8. Spirals
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9. Rolls
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10. Arrangement of hubs
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11. The end of the proof
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For every finitely generated recursively presented group \(\mathcal G\) we construct a finitely presented group \(\mathcal H\) containing \(\mathcal G\) such that \(\mathcal G\) is (Frattini) embedded into \(\mathcal H\) and the group \(\mathcal H\) has solvable conjugacy problem if and only if \(\mathcal G\) has solvable conjugacy problem. Moreover \(\mathcal G\) and \(\mathcal H\) have the same r.e. Turing degrees of the conjugacy problem. This solves a problem by D. Collins.
Graduate students and research mathematicians interested in algebra and algebraic geometry.
-
Chapters
-
1. Introduction
-
2. List of relations
-
3. The first properties of $\mathcal {H}$
-
4. The group $\mathcal {H}_2$
-
5. The word problem in $\mathcal {H}_1$
-
6. Some special diagrams
-
7. Computations of $\mathcal {S} \cup \bar {\mathcal {S}}$
-
8. Spirals
-
9. Rolls
-
10. Arrangement of hubs
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11. The end of the proof
