On the Zassenhaus Conjecture for Certain Cyclic-by-Nilpotent Groups
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DOI: 10.1007/s00009-020-1479-7
Abstract: Hans Zassenhaus conjectured that every torsion unit of the integral group ring of a finite group G is conjugate within the rational group algebra to an element of the form $$\pm g$$ ± g with… read more here.
Keywords: cyclic nilpotent; conjecture certain; zassenhaus conjecture; conjecture ... See more keywords
POLYNOMIAL COHOMOLOGY AND POLYNOMIAL MAPS ON NILPOTENT GROUPS
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DOI: 10.1017/s0017089519000429
Abstract: Abstract We introduce a refined version of group cohomology and relate it to the space of polynomials on the group in question. We show that the polynomial cohomology with trivial coefficients admits a description in… read more here.
Keywords: cohomology; maps nilpotent; polynomial cohomology; cohomology polynomial ... See more keywords
On the lower central series of the free nilpotent groups of finite rank
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DOI: 10.1080/00927872.2018.1539175
Abstract: Abstract In their article, “On the derived subgroup of the free nilpotent groups of finite rank” R. D. Blyth, P. Moravec, and R. F. Morse describe the structure of the derived subgroup of a free… read more here.
Keywords: group; free nilpotent; groups finite; lower central ... See more keywords