D. Lytkina

3 citations · 3 across the 3 of their papers we have counts for

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math.GR2021

Finite groups whose maximal subgroups have only soluble proper subgroups

Daria Lytkina, Archil Zhurtov

We give a description of a finite group whose maximal subgroups possess only soluble proper subgroups, which implies the answer to the well-known question on composition factors of…

math.GR2018★ 3 cited

Spectra of Cayley graphs

Wenbin Guo, Daria V. Lytkina, Victor D. Mazurov +1

Let $G$ be a group and $S \subseteq G$ its subset such that $S = S^{- 1}$ , where $S^{- 1} = {s^{- 1} ∣ s \in S}$ . Then {\it the Cayley graph $Cay (G, S)$ } is an undirected graph $Γ$ …

math.GR2018

Splitting via Noncommutativity

M. L. Lewis, D. V. Lytkina, V. D. Mazurov +1

Let $G$ be a nonabelian group and $n$ a natural number. We say that $G$ has a strict $n$ -split decomposition if it can be partitioned as the disjoint union of an abelian subgroup $…