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References
D. E.Cohen, Groups of cohomological dimension one. LNM245, Berlin 1972.
C. H. Houghton, Ends of groups and the associated first cohomology groups. J. London Math. Soc. (2),6, 81–92 (1972).
C. H. Houghton, Ends of locally compact groups and their coset spaces. J. Aust. Math. Soc.17, 274–284 (1974).
C. H. Houghton, Group pairs associated with a class of coverings. Arch. Math.30, 275–278 (1978).
A.Mohammadi Hassanabadi, Automorphisms of permutational wreath products. To appear in J. Aust. Math. Soc.
P. Scott, Ends of pairs of groups. J. Pure and Applied Algebra11 179–198 (1977).
E. Specker, Die erste Cohomologiegruppe von Überlagerungen und Homotopie-Eigenschaften dreidimensionaler Mannigfaltigkeiten. Comment. Math. Helv.23, 303–333 (1949).
J. Wiegold, Transitive groups with fixed-point-free permutations II. Arch. Math.29, 571–573 (1977).
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Houghton, C.H. The first cohomology of a group with permutation module coefficients. Arch. Math 31, 254–258 (1978). https://doi.org/10.1007/BF01226445
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DOI: https://doi.org/10.1007/BF01226445