40 citations · 99 across the 23 of their papers we have counts for
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The Cayley isomorphism property for
Mikhail Muzychuk, Gábor Somlai
For every pair of distinct primes , we prove that is a CI-group with respect to binary relational structures.
Finding a cycle base of a permutation group
Mikhail Muzychuk, Ilia Ponomarenko
A cycle base of a permutation group is defined to be a maximal set of its pairwise non-conjugate regular cyclic subgroups. It is proved that a cycle base of a permutation group of…
A family of permutation groups with exponentially many non-conjugated regular elementary abelian subgroups
Sergei Evdokimov, Mikhail Muzychuk, Ilia Ponomarenko
Given a prime , we construct a permutation group containing at least non-conjugated regular elementary abelian subgroups of order . This gives the first example o…
The Schur-Wielandt theory for central S-rings
Gang Chen, Mikhail Muzychuk, Ilya Ponomarenko
Two basic results on the S-rings over an abelian group are the Schur theorem on multipliers and the Wielandt theorem on primitive S-rings over groups with a cyclic Sylow subgroup.…