Bulletin of the American Mathematical Society

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Book Information:

Author: 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: Jean-Pierre Serre
Title: Trees
Additional book information: Springer-Verlag, Berlin and New York, 1980, ix + 142 pp., $29.80.

Roger Alperin, Locally compact groups acting on trees and property $T$, Monatsh. Math. 93 (1982), no. 4, 261–265. MR 666827, DOI 10.1007/BF01295226

Roger C. Alperin and Kenneth N. Moss, Complete trees for groups with a real-valued length function, J. London Math. Soc. (2) 31 (1985), no. 1, 55–68. MR 810562, DOI 10.1112/jlms/s2-31.1.55

Hyman Bass, Some remarks on group actions on trees, Comm. Algebra 4 (1976), no. 12, 1091–1126. MR 419616, DOI 10.1080/00927877608822154

Hyman Bass, Groups of integral representation type, Pacific J. Math. 86 (1980), no. 1, 15–51. MR 586867

P. Cartier, Harmonic analysis on trees, Harmonic analysis on homogeneous spaces (Proc. Sympos. Pure Math., Vol. XXVI, Williams Coll., Williamstown, Mass., 1972) Amer. Math. Soc., Providence, R.I., 1973, pp. 419–424. MR 0338272

I. M. Chiswell, Abstract length functions in groups, Math. Proc. Cambridge Philos. Soc. 80 (1976), no. 3, 451–463. MR 427480, DOI 10.1017/S0305004100053093

I. M. Chiswell, The Bass-Serre theorem revisited, J. Pure Appl. Algebra 15 (1979), no. 2, 117–123. MR 535180, DOI 10.1016/0022-4049(79)90028-8

Marc Culler and Peter B. Shalen, Varieties of group representations and splittings of $3$-manifolds, Ann. of Math. (2) 117 (1983), no. 1, 109–146. MR 683804, DOI 10.2307/2006973

9.

M. J. Dunwoody, Countable groups with more than one end, preprint, 1982.

M. J. Dunwoody, Accessibility and groups of cohomological dimension one, Proc. London Math. Soc. (3) 38 (1979), no. 2, 193–215. MR 531159, DOI 10.1112/plms/s3-38.2.193

Beno Eckmann and Heinz Müller, Poincaré duality groups of dimension two, Comment. Math. Helv. 55 (1980), no. 4, 510–520. MR 604709, DOI 10.1007/BF02566702

Lothar Gerritzen and Marius van der Put, Schottky groups and Mumford curves, Lecture Notes in Mathematics, vol. 817, Springer, Berlin, 1980. MR 590243

Daniel R. Grayson, Finite generation of $K$-groups of a curve over a finite field (after Daniel Quillen), Algebraic $K$-theory, Part I (Oberwolfach, 1980) Lecture Notes in Math., vol. 966, Springer, Berlin-New York, 1982, pp. 69–90. MR 689367

Jean-Claude Hausmann, Sur l’usage de critères pour reconnaître un groupe libre, un produit amalgamé ou une HNN-extension, Enseign. Math. (2) 27 (1981), no. 3-4, 221–242 (1982) (French). MR 659150

15.

P. A. Linnell, conversation with R. C. A. at Oberwolfach, July, 1982.

Roger C. Lyndon, Length functions in groups, Math. Scand. 12 (1963), 209–234. MR 163947, DOI 10.7146/math.scand.a-10684

Heinz Müller, Decomposition theorems for group pairs, Math. Z. 176 (1981), no. 2, 223–246. MR 607963, DOI 10.1007/BF01261870

Peter Scott and Terry Wall, Topological methods in group theory, Homological group theory (Proc. Sympos., Durham, 1977) London Math. Soc. Lecture Note Ser., vol. 36, Cambridge Univ. Press, Cambridge-New York, 1979, pp. 137–203. MR 564422

Jean-Pierre Serre, Le problème des groupes de congruence pour SL2, Ann. of Math. (2) 92 (1970), 489–527 (French). MR 272790, DOI 10.2307/1970630

Jean-Pierre Serre, Cohomologie des groupes discrets, Prospects in mathematics (Proc. Sympos., Princeton Univ., Princeton, N.J., 1970) Ann. of Math. Studies, No. 70, Princeton Univ. Press, Princeton, N.J., 1971, pp. 77–169 (French). MR 0385006

Jean-Pierre Serre, Arbres, amalgames, $\textrm {SL}_{2}$, Astérisque, No. 46, Société Mathématique de France, Paris, 1977 (French). Avec un sommaire anglais; Rédigé avec la collaboration de Hyman Bass. MR 0476875

J.-P. Serre, Arithmetic groups, Homological group theory (Proc. Sympos., Durham, 1977) London Math. Soc. Lecture Note Ser., vol. 36, Cambridge Univ. Press, Cambridge-New York, 1979, pp. 105–136. MR 564421

23.

P. B. Shalen, conversation with R.C.A. at Rice Univ., August, 1982.

John Stallings, Groups of cohomological dimension one, Applications of Categorical Algebra (Proc. Sympos. Pure Math., Vol. XVIII, New York, 1968) Amer. Math. Soc., Providence, R.I., 1970, pp. 124–128. MR 0255689

Richard G. Swan, Groups of cohomological dimension one, J. Algebra 12 (1969), 585–610. MR 240177, DOI 10.1016/0021-8693(69)90030-1

G. Ananda Swarup, Relative version of a theorem of Stallings, J. Pure Appl. Algebra 11 (1977/78), no. 1-3, 75–82. MR 466326, DOI 10.1016/0022-4049(77)90042-1

J. Tits, The work of Gregori Aleksandrovitch Margulis, Proceedings of the International Congress of Mathematicians (Helsinki, 1978) Acad. Sci. Fennica, Helsinki, 1980, pp. 57–63. MR 562596

J. Tits, On buildings and their applications, Proceedings of the International Congress of Mathematicians (Vancouver, B. C., 1974) Canad. Math. Congress, Montreal, Que., 1975, pp. 209–220. MR 0439945

J. Tits, A “theorem of Lie-Kolchin” for trees, Contributions to algebra (collection of papers dedicated to Ellis Kolchin), Academic Press, New York, 1977, pp. 377–388. MR 0578488

Marvin D. Tretkoff, A topological approach to the theory of groups acting on trees, J. Pure Appl. Algebra 16 (1980), no. 3, 323–333. MR 558496, DOI 10.1016/0022-4049(80)90037-7

Yasuo Watatani, Property T of Kazhdan implies property FA of Serre, Math. Japon. 27 (1982), no. 1, 97–103. MR 649023

1.

R. C. Alperin, Locally compact groups acting on trees and property T, Monatsh. Math. 93 (1982), 261-265. MR 0666827

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