Document Zbl 0275.20093

Nielsen equivalence of presentations of some solvable groups. (English) Zbl 0275.20093

Math. Z. 137, 351-362 (1974).

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MSC:

20J05	Homological methods in group theory
20D10	Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks
20E15	Chains and lattices of subgroups, subnormal subgroups

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References:

[1]	Dunwoody, M.J.: Nielsen transformations, In: Computational problems in Abstract Algebra (Proc. Conf., Oxford, 1967), pp. 45-46. Oxford-New York: Pergamon Press 1969
[2]	Dunwoody, M.J.: Ph.D. Thesis. Australian National University, Canberra 1962
[3]	Gruenberg, K.W.: Cohomological topics in Group Theory. Lecture notes in Mathematics, 143, Berlin-Heidelberg-New York: Springer 1970 · Zbl 0205.32701
[4]	Hall, P.: The Eulerian functions of a group. Quart. J. Math. Oxford,7, 134-151 (1936) · JFM 62.0082.02 · doi:10.1093/qmath/os-7.1.134
[5]	Lyndon, R.C.: Dependence and independence in free groups. J. reine angew. Math.210, 148-174 (1962) · Zbl 0105.01901 · doi:10.1515/crll.1962.210.148
[6]	Robinson, D.J.S.: Finiteness conditions and generalized soluble groups, Parts 1 and 2. Ergebnisse der Mathematik vols. 62 and 63. Berlin-Heidelberg-New York: Springer 1972 · Zbl 0243.20032

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