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- W3111438024 abstract "Abstract Let G be a group and $$G_0 subseteq G$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:msub> <mml:mi>G</mml:mi> <mml:mn>0</mml:mn> </mml:msub> <mml:mo>⊆</mml:mo> <mml:mi>G</mml:mi> </mml:mrow> </mml:math> be a subset. A sequence over $$G_0$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msub> <mml:mi>G</mml:mi> <mml:mn>0</mml:mn> </mml:msub> </mml:math> means a finite sequence of terms from $$G_0$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msub> <mml:mi>G</mml:mi> <mml:mn>0</mml:mn> </mml:msub> </mml:math> , where the order of elements is disregarded and the repetition of elements is allowed. A product-one sequence is a sequence whose elements can be ordered such that their product equals the identity element of the group. We study algebraic and arithmetic properties of monoids of product-one sequences over finite subsets of G and over the whole group G , with a special emphasis on the infinite dihedral group." @default.
- W3111438024 created "2020-12-21" @default.
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- W3111438024 date "2022-07-25" @default.
- W3111438024 modified "2023-09-27" @default.
- W3111438024 title "On product-one sequences over subsets of groups" @default.
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- W3111438024 doi "https://doi.org/10.1007/s10998-022-00483-5" @default.
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