×

Profinite groups and Boolean graphs. (English) Zbl 0428.20018


MSC:

20E18 Limits, profinite groups
20E06 Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations
20J05 Homological methods in group theory
05C25 Graphs and abstract algebra (groups, rings, fields, etc.)
55N30 Sheaf cohomology in algebraic topology
54D30 Compactness
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Binz, E.; Neukirch, J.; Wentzel, G. H., A subgroup theorem for free products of profinite groups, J. Algebra, 19, 104-109 (1971) · Zbl 0232.20052
[2] Brumer, A., Pseudo-compact Algebras, Profinite groups and class formation, J. Algebra, 4, 442-470 (1966) · Zbl 0146.04702
[3] Gildenhuys, D., Pro-\(p\)-groups with one defining relator, Inventiones Math., 5, 357-366 (1968) · Zbl 0159.30601
[4] Gildenhuys, D., Amalgamations of pro-\(p\)-groups with one defining relator, J. Algebra, 41 (1976), to appear. · Zbl 0356.20036
[5] Gildenhuys, D., One-relator groups that are residually of prime power order, J. Austral. Math. Soc., 19, Series A, 385-409 (1975) · Zbl 0325.20034
[6] Gildenhuys, D., The cohomology of groups acting on trees, J. Pure and Applied Algebra, 6, 265-274 (1975) · Zbl 0357.20029
[7] Gildenhuys, D., A generalization of Lyndon’s theorem on the cohomology of one-relator groups, Can. J. Math., 3, 28, 473-480 (1976) · Zbl 0373.20037
[8] Gildenhuys, D.; Lim, C-K, Free Pro-\(C\)-groups, Math. Z., 125, 233-254 (1972) · Zbl 0221.20048
[9] Gildenhuys, D.; Nackay, E., Triple cohomology and Galois cohomology for profinite groups, Comm. in Alg., 1, 6, 459-473 (1974) · Zbl 0289.18008
[10] Gildenhuys, D.; Ribes, L., A Kurosh subgroup theorem for free pro-\(C\)-products of pro-\(C\)-groups, Trans. AMS, 186, 309-329 (1973) · Zbl 0282.20027
[11] Gildenhuys, D.; Ribes, L., On the cohomology of certain topological colimits of pro-\(C\)-groups, J. Alg., 29, 172-197 (1974) · Zbl 0303.20030
[12] Labute, J., Algèbres de Lie et pro-\(p\)-groupes définis par une seule relation, Invent. Math., 4, 142-158 (1967) · Zbl 0212.36303
[13] Neukirch, J., Freie Produkte pro-endlicher Gruppen und ihre Kohomologie, Arch. Math., 22, 337-357 (1971) · Zbl 0254.20023
[14] Ribes, L., On amalgamated products of profinite groups, Math. Z., 123, 357-364 (1971) · Zbl 0218.20031
[15] Ribes, L., Introduction to profinite groups and Galois cohomology, (Queen’s papers in Pure and Applied Maths. (1970), Queen’s University: Queen’s University Kingston, Ont., Canada), no. 24 · Zbl 0948.11043
[16] Ribes, L., Cohomological characterization of amalgamated products of groups, J. Pure and Appl. Algebra, 4, 309-317 (1974) · Zbl 0288.20067
[17] Serre, P., Cohomologie Galoisienne, (Lecture Notes in Mathematics no. 5 (1965), Springer-Verlag: Springer-Verlag Berlin) · Zbl 0812.12002
[18] Serre, P., Groupes discrets, (Lecture Notes (1968-1969), Collège de France: Collège de France Paris) · Zbl 0174.31301
[19] Swan, R., The theory of sheaves (1964), The University of Chicago Press: The University of Chicago Press Chicago · Zbl 0119.25801
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.