Articles with "commutator subgroup" as a keyword



On the commutator subgroup of a right-angled Artin group

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Published in 2019 at "Journal of Algebra"

DOI: 10.1016/j.jalgebra.2018.11.022

Abstract: Abstract We use polyhedral product models to analyse the structure of the commutator subgroup of a right-angled Artin group. In particular, we provide a minimal set of generators for the commutator subgroup, consisting of special… read more here.

Keywords: artin group; subgroup; right angled; angled artin ... See more keywords

Integral of groups

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Published in 2017 at "Communications in Algebra"

DOI: 10.1080/00927872.2016.1175587

Abstract: ABSTRACT In this paper, we define the concept of integral for an arbitrary group, and we try to answer this question: Which groups can be considered as a commutator subgroup? For instance, we will show… read more here.

Keywords: commutator subgroup; integral groups; group;

On the commutator subgroup of the unit group of a modular group algebra

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Published in 2025 at "Journal of Group Theory"

DOI: 10.1515/jgth-2024-0209

Abstract: Abstract Let 𝐹 be a field of odd characteristic and 𝐺 a group for which the group algebra F ⁢ G FG is modular. In this paper, necessary and sufficient conditions are presented for the… read more here.

Keywords: subgroup unit; group algebra; commutator subgroup; algebra ... See more keywords