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Book Review
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Book Information
Author(s):
Warren Dicks
Title:
Groups, trees and projective modules
Additional book information:
Lecture Notes in Math., vol. 790, Springer-Verlag, Berlin and New York, 1980, 126 pp., $9.80
Author(s):
Jean-Pierre Serre
Title:
Trees
Additional book information:
Springer-Verlag, Berlin and New York, 1980, ix + 142 pp., $29.80
References:
- 1.
- R. C. Alperin, Locally compact groups acting on trees and property T, Monatsh. Math. 93 (1982), 261-265. MR 666827
- 2.
- R. C. Alperin and K. N. Moss, Complete trees for groups with a real valued length function, preprint, 1981. MR 810562
- 3.
- H. Bass, Some remarks on group actions on trees, Comm. Algebra 4 (1976), 1091-1126. MR 419616
- 4.
- H. Bass, Groups of integral representation type, Pacific J. Math. 86 (1980), 15-52. MR 586867
- 5.
- P. Cartier, Harmonic analysis on trees, Proc. Sympos. Pure Math., vol. 26, Amer. Math. Soc., Providence, R. I., 1973, pp. 419-424. MR 338272
- 6.
- I. M. Chiswell, Abstract length functions in groups, Math. Proc. Cambridge Philos. Soc. 80 (1976), 451-463. MR 427480
- 7.
- I. M. Chiswell, The Bass-Serre theorem revisited, J. Pure Appl. Algebra 15 (1979), 117-123. MR 535180
- 8.
- M. Culler and P. B. Shalen, Varieties of group representations and splittings of 3-manifolds, Ann. of Math. (2) (to appear). MR 683804
- 9.
- M. J. Dunwoody, Countable groups with more than one end, preprint, 1982.
- 10.
- M. J. Dunwoody, Accessibility and groups of cohomological dimension one, Proc. London Math. Soc. 38 (1979), 193-215. MR 531159
- 11.
- B. Eckmann and H. Müller, Poincaré duality groups of dimension two, Comment. Math. Helv. 55 (1980), 510-520. MR 604709
- 12.
- L. Gerritzen and M. van der Put, Schottky groups and Mumford curves, Lecture Notes in Math., vol. 817, Springer-Verlag, Berlin and New York, 1980. MR 590243
- 13.
- D. R. Grayson, Finite generation of K-groups of a curve over a finite field (after Daniel Quillen), Lecture Notes in Math. (to appear). MR 689367
- 14.
- J.-C. Hausmann, Sur l'usuge de critères pour reconnaître un groupe libre, un produit amalgamé ou une HNN-extension, L'Enseignement Math. 27 (1981), 221-242. MR 659150
- 15.
- P. A. Linnell, conversation with R. C. A. at Oberwolfach, July, 1982.
- 16.
- R. C. Lyndon, Length functions in groups, Math. Scand. 12 (1963), 209-234. MR 163947
- 17.
- H. Müller, Decomposition theorems for group pairs, Math. Z. 176 (1981), 223-246. MR 607963
- 18.
- P. Scott and T. Wall, Topological methods in group theory, Homological Group Theory, LMS Lecture Notes 36, Cambridge Univ. Press, Cambridge, 1979, pp. 137-203. MR 564422
- 19.
- J-P. Serre, Le problème des groupes de congruence pour SL2, Ann. of Math. (2) 92 (1970), 489-527. MR 272790
- 20.
- J-P. Serre, Cohomologie des groupes discrete, Prospects in Mathematics, Ann. of Math. Studies, no. 70, Princeton Univ. Press, Princeton, N. J., 1971, pp. 77-169. MR 385006
- 21.
- J-P. Serre, Arbres, amalgames, SL2, Astérisque Soc. Math. France 46 (1977). MR 476875
- 22.
- J-P. Serre, Arithmetic groups, Homological Group Theory, LMS Lecture Notes 36, Cambridge Univ. Press, Cambridge, 1979, pp. 105-136. MR 564421
- 23.
- P. B. Shalen, conversation with R.C.A. at Rice Univ., August, 1982.
- 24.
- J. R. Stallings, Groups of cohomological dimension one, Proc. Sympos. Pure Math., vol. 17, Amer. Math. Soc., Providence, R. I., 1968, pp. 124-128. MR 255689
- 25.
- R. G. Swan, Groups of cohomological dimension one, J. Algebra 12 (1969), 585-601. MR 240177
- 26.
- G. A. Swarup, Relative version of a theorem of Stallings, J. Pure Appl. Algebra 11 (1977), 75-82. MR 466326
- 27.
- J. Tits, The work of Gregori Aleksandrovitch Margulis, Proc. Internat. Congr. Math. (Helsinki, 1978), vol. I, Acad. Sci. Fenn. Helsinki, 1980, pp. 57-63. MR 562596
- 28.
- J. Tits, On buildings and their applications, Proc. Internat. Congr. Math. (Vancouver, 1974), vol. I, 1974, pp. 209-220. MR 439945
- 29.
- J. Tits, A "theorem of Lie-Kolchin" for trees, Contributions to Algebra: A Collection of Papers Dedicated to Ellis Kolchin, Academic Press, New York, 1977, pp. 377-388. MR 578488
- 30.
- M. D. Tretkoff, A topological approach to the theory of groups acting on trees, J. Pure Appl. Algebra 16 (1980), 323-333. MR 558496
- 31.
- Y. Watatani, Property T of Kazhdan implies property FA of Serre, Math. Japan 27 (1982), 97-103. MR 649023
Additional Information:
Reviewer(s):
Roger C.
Alperin
Review Information:
Journal:
Bull. Amer. Math. Soc.
8
(1983),
401-405.
DOI:
10.1090/S0273-0979-1983-15146-7
PII:
S 0273-0979(1983)15146-7
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