Multiplicators and groups with finite central factor-groups.
James Wiegold (1965)
Mathematische Zeitschrift
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James Wiegold (1965)
Mathematische Zeitschrift
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Larry Dornhoff (1967)
Mathematische Zeitschrift
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Murray Schacher, Gary M. Seitz (1972)
Mathematische Zeitschrift
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George Glaubermann (1964)
Mathematische Zeitschrift
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John G. Thompson (1964/65)
Mathematische Zeitschrift
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Leonard Evens (1966)
Mathematische Zeitschrift
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Richard Brauer (1964)
Mathematische Zeitschrift
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Stephen J. Pride (1983)
Mathematische Zeitschrift
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James Howie (1982)
Mathematische Zeitschrift
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James E. Humphreys (1971)
Mathematische Zeitschrift
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Jay I. Miller (1979)
Mathematische Zeitschrift
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Donald J. Collins (1977)
Mathematische Zeitschrift
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Filippo Callegaro, Ivan Marin (2014)
Journal of the European Mathematical Society
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Complex braid groups are the natural generalizations of braid groups associated to arbitrary (finite) complex reflection groups. We investigate several methods for computing the homology of these groups. In particular, we get the Poincaré polynomial with coefficients in a finite field for one large series of such groups, and compute the second integral cohomology group for all of them. As a consequence we get non-isomorphism results for these groups.