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Published in 2018 at "Mediterranean Journal of Mathematics"
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…
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Keywords:
cyclic nilpotent;
conjecture certain;
zassenhaus conjecture;
conjecture ... See more keywords
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Published in 2019 at "Glasgow Mathematical Journal"
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…
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Keywords:
cohomology;
maps nilpotent;
polynomial cohomology;
cohomology polynomial ... See more keywords
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Published in 2019 at "Communications in Algebra"
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…
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Keywords:
group;
free nilpotent;
groups finite;
lower central ... See more keywords