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Showing 2019 · math.GRShow all
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math.GR2019★ 1 cited
The minimal polynomials of powers of cycles in the ordinary representations of symmetric and alternating groups
Nanying Yang, Alexey Staroletov
Denote the alternating and symmetric groups of degree by and respectively. Consider a permutation all of whose nontrivial cycles are of the same length.…
math.GR2019★ 9 cited
On the nilpotency of the solvable radical of a finite group isospectral to a simple group
Nanying Yang, Mariya A. Grechkoseeva, Andrey V. Vasil'ev
We refer to the set of the orders of elements of a finite group as its spectrum and say that groups are isospectral if their spectra coincide. We prove that with the only specific…