Y. Guerboussa

activity

20122025

most citedOn central automorphisms of groups and nilpotent rings

2 citations · 3 across the 8 of their papers we have counts for

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9 papers · 1 filter

math.GR2025

On cohomologically Trivially modules over finite $p$ -groups

Yassine Guerboussa, Maria Guedri

We show that every finitely generated cohomologically trivial module over $R G$ , where $G$ is a finite $p$ -group and $R$ is a $p$ -adic ring, splits as the direct sum of a finite coh…

math.GR2025

The quotients of the $p$ -adic group ring of a cyclic group of order $p$

Maria Guedri, Yassine Guerboussa

We classify, up to isomorphism, the $Z_{p} G$ -modules of rank $1$ (i.e., the quotients of $Z_{p} G$ ) for $G$ cyclic of order $p$ , where $Z_{p}$ is the ring of $p…

math.GR2023

Discrete valuation rings, partitions and $p$ -groups I

Boubakeur Bahri, Yassine Guerboussa

A finite abelian $p$ -group having an automorphism $x$ such that $1 + \dots + x^{p - 1} = 0$ , can be viewed as a module over an appropriate discrete valuation ring $O$ containing…

math.GR2022

A note on $d$ -maximal $p$ -groups I

Messab Aiech, Hanifa Zekraoui, Yassine Guerboussa

A finite $p$ -group $G$ is said to be $d$ -maximal if $d (H) < d (G)$ for every subgroup $H < G$ , where $d (G)$ denotes the minimal number of generators of $G$ . A similar definition can be…

math.GR2014

A cohomological property of semi-abelian $p$ -groups

Mohammed T. Benmoussa, Yassine Guerboussa

We prove a cohomological property for a class of finite $p$ -groups introduced earlier by M. Y. Xu, which we call semi-abelian $p$ -groups. This result implies that a semi-abelian $p…

math.GR2014

$p$ -central action on groups

Yassine Guerboussa

Let $G$ be a finite $p$ -group acted on faithfully by a group $A$ . We prove that if $A$ fixes every element of order dividing $p$ ( $4$ if $p = 2$ ) in a specified subgroup of $G$ , then…

math.GR2013

Adjoint groups of $p$ -nil rings and $p$ -group automorphisms

Yassine Guerboussa, Bounabi Daoud

We introduce a class of rings, namely the class of left or right $p$ -nil rings, for which the adjoint groups behave regularly. Every $p$ -ring is close to being left or right $p$ -ni…

math.GR2013★ 1 cited

Some automorphism groups of finite p-groups

Yassine Guerboussa, Miloud Reguiat

A conjecture of Berkovich asserts that every non-simple finite p-group has a non-inner automorphism of order p. This conjecture is far from being proved despite the great effort de…

math.GR2012★ 2 cited

On central automorphisms of groups and nilpotent rings

Yassine Guerboussa, Bounabi Daoud

Let $G$ be a group. The central automorphism group $A u t_{c} (G)$ of $G$ is the centralizer of $I nn (G)$ the subgroup of $A u t (G)$ of inner automorphisms. There is a one to one map $ σ\m…

On cohomologically Trivially modules over finite p-groups

The quotients of the p-adic group ring of a cyclic group of order p

Discrete valuation rings, partitions and p-groups I

A note on d-maximal p-groups I

A cohomological property of semi-abelian p-groups

p-central action on groups

Adjoint groups of p-nil rings and p-group automorphisms