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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…
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Keywords:
artin group;
subgroup;
right angled;
angled artin ... See more keywords
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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…
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Keywords:
commutator subgroup;
integral groups;
group;
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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…
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Keywords:
subgroup unit;
group algebra;
commutator subgroup;
algebra ... See more keywords