Fat Minors in Finitely Presented Groups
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DOI: 10.1007/s00493-025-00165-z
Abstract: We show that a finitely presented group virtually admits a planar Cayley graph if and only if it is asymptotically minor-excluded, partially answering a conjecture of Georgakopoulos and Papasoglu in the affirmative. read more here.
Keywords: presented groups; fat minors; finitely presented; minors finitely ... See more keywords
Rank 1 character varieties of finitely presented groups
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DOI: 10.1007/s10711-017-0281-6
Abstract: Let $$\mathfrak {X}(\Gamma ,G)$$X(Γ,G) be the G-character variety of $$\Gamma $$Γ where G is a rank 1 complex affine algebraic group and $$\Gamma $$Γ is a finitely presentable discrete group. We describe an algorithm, which… read more here.
Keywords: character varieties; finitely presented; rank character; varieties finitely ... See more keywords
Another Gorenstein analogue of flat modules
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DOI: 10.1080/00927872.2016.1245314
Abstract: ABSTRACT A right R-module M is called glat if any homomorphism from any finitely presented right R-module to M factors through a finitely presented Gorenstein projective right R-module. The concept of glat modules may be… read more here.
Keywords: finitely presented; another gorenstein; gorenstein analogue; gorenstein ... See more keywords
Virtually Regular Modules
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DOI: 10.1142/s0219498826501021
Abstract: We call a right module $M$ (strongly) virtually regular if every (finitely generated) cyclic submodule is isomorphic to a direct summand. $M$ is said to be completely virtually regular if every submodule is virtually regular.… read more here.
Keywords: virtually regular; finitely presented; regular modules; completely virtually ... See more keywords