Тип публикации: статья из журнала
Год издания: 2024
Идентификатор DOI: 10.1515/jgth-2023-0119
Аннотация: <jats:title>Abstract</jats:title> <jats:p>The product of subgroups membership problem for a finitely generated group is the decision problem, where, given two or more finitely generated subgroups <jats:inline-formula> <jats:alternatives> <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msub> <m:mi>K</m:mi> <m:mi>i</m:mi> <Показать полностью/m:msub> </m:math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_jgth-2023-0119_ineq_0001.png"/> <jats:tex-math>K_{i}</jats:tex-math> </jats:alternatives> </jats:inline-formula>, <jats:inline-formula> <jats:alternatives> <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mi>i</m:mi> <m:mo>=</m:mo> <m:mrow> <m:mn>1</m:mn> <m:mo>,</m:mo> <m:mi mathvariant="normal">…</m:mi> <m:mo>,</m:mo> <m:mi>m</m:mi> </m:mrow> </m:mrow> </m:math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_jgth-2023-0119_ineq_0002.png"/> <jats:tex-math>i=1,\ldots,m</jats:tex-math> </jats:alternatives> </jats:inline-formula>, of and a group element , it is asked whether <jats:inline-formula> <jats:alternatives> <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mi>g</m:mi> <m:mo rspace="0.111em">∈</m:mo> <m:mrow> <m:msubsup> <m:mo>∏</m:mo> <m:mrow> <m:mi>i</m:mi> <m:mo>=</m:mo> <m:mn>1</m:mn> </m:mrow> <m:mi>m</m:mi> </m:msubsup> <m:msub> <m:mi>K</m:mi> <m:mi>i</m:mi> </m:msub> </m:mrow> </m:mrow> </m:math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_jgth-2023-0119_ineq_0003.png"/> <jats:tex-math>g\in\prod_{i=1}
Журнал: Journal of Group Theory
ISSN журнала: 14335883
Издатель: Walter de Gruyter GmbH & Co. KG