S. Aivazidis

activity

20132026

p

-groups whose number of subgroups is minimal

10 citations · 27 across the 15 of their papers we have counts for

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3 papers · 1 filter

math.GR2022

The $X$ -series of a $p$ -group and complements of abelian subgroups

Stefanos Aivazidis, Maria Loukaki

Let $G$ be a $p$ -group. We denote by $X_{i} (G)$ the intersection of all subgroups of $G$ having index $p^{i}$ , for $i \leq lo g_{p} (∣ G ∣)$ . In this paper, the newly introduced s…

math.GR2022

On the common transversal probability in finite groups

S. Aivazidis, M. Loukaki, T. W. Mueller

Let $G$ be a finite group, and let $H$ be a subgroup of $G$ . We compute the probability, denoted by $P_{G} (H)$ , that a left transversal of $H$ in $G$ is also a right transversal, thu…

math.GR2022

Subgroup congruences for groups of prime power order

Stefanos Aivazidis, Maria Loukaki

Given a $p$ -group $G$ and a subgroup-closed class $X$ , we associate with each $X$ -subgroup $H$ certain quantities which count $X$ -subgroups contain…

The X-series of a p-group and complements of abelian subgroups

On the common transversal probability in finite groups

Subgroup congruences for groups of prime power order

The $X$ -series of a $p$ -group and complements of abelian subgroups