Dihedral twists in the Twist Conjecture
نویسندگان
چکیده
Under the assumption that a defining graph of Coxeter group admits only subsequent elementary twists in $$\mathbb {Z}_2$$ or dihedral groups and is type $$\mathrm {FC}$$ , we prove Bernhard Mühlherr’s Twist Conjecture.
منابع مشابه
Yoshida lifts and simultaneous non-vanishing of dihedral twists of modular L-functions
Given elliptic modular forms f and g satisfying certain conditions on their weights and levels, we prove (a quantitative version of the statement) that there exist infinitely many imaginary quadratic fields K and characters χ of the ideal class group ClK such that L( 1 2 , fK × χ) 6= 0 and L( 1 2 , gK × χ) 6= 0. The proof is based on a non-vanishing result for Fourier coefficients of Siegel mod...
متن کاملSumsets in dihedral groups
Let Dn be the dihedral group of order 2n. For all integers r, s such that 1 ≤ r, s ≤ 2n, we give an explicit upper bound for the minimal size μDn (r, s) = min |A · B| of sumsets (product sets) A · B, where A and B range over all subsets of Dn of cardinality r and s respectively. It is shown by construction that μDn (r, s) is bounded above by the known value of μG (r, s), where G is any abelian ...
متن کاملDihedral Escherization
“Escherization” [9] is a process that finds an Escher-like tiling of the plane from tiles that resemble a user-supplied goal shape. We show how the original Escherization algorithm can be adapted to the dihedral case, producing tilings with two distinct shapes. We use a form of the adapted algorithm to create drawings in the style of Escher’s print Sky and Water. Finally, we develop an Escheriz...
متن کاملthe u.s. policy in central asia and its impact on the colored revolutions in the region (the case study of tulip revolution in kyrgyzstan)
چکیده ندارد.
15 صفحه اولThe Auslander-Reiten Conjecture for Group Rings
This paper studies the vanishing of $Ext$ modules over group rings. Let $R$ be a commutative noetherian ring and $ga$ a group. We provide a criterion under which the vanishing of self extensions of a finitely generated $Rga$-module $M$ forces it to be projective. Using this result, it is shown that $Rga$ satisfies the Auslander-Reiten conjecture, whenever $R$ has finite global dimension and $ga...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2021
ISSN: ['1432-1823', '0025-5874']
DOI: https://doi.org/10.1007/s00209-021-02743-5