Q_{4n} is an NCI-group for all n≥2, never an NNN-group, and an NNND-group precisely when n is even and ≥6.
On convergence of stringy motives of wild p^n -cyclic quotient singularities
9 Pith papers cite this work. Polarity classification is still indexing.
9
Pith papers citing it
verdicts
UNVERDICTED 9representative citing papers
Formulates a conjectural classification of H_{1,n-1}-distinguished irreducible smooth representations of GL_n(D) for n>2 and proves it for n=3 and n=4.
A variety of J-trivial monoids is Cross if and only if it excludes one of a list of 14 almost Cross varieties.
Provides two characterizations of extended tilting objects in hearts of t-structure intervals, relating them to quasi-tilting objects or projective generators under conditions on the t-structures.
NP-completeness of knapsack and subset sum proven for max-plus and max-times matrix semigroups, with pseudo-polynomial and polynomial algorithms demonstrated.
Quotient varieties from permutation representations of finite groups have canonical singularities in arbitrary characteristic; the associated log pair is klt except in char 2 and lc in all characteristics.
Adapts Mourgues-Ressayre constructions to show T0-reducts of T-λ-spherical completions are truncation-closed when the power series family is closed under truncations and derivatives, yielding initial embeddings of models into surreals for exponentiation-defining theories.
Factorization theorems with sharp bounds and an extension of the Dumas irreducibility criterion to formal power series over PIDs and DVRs using Newton polygons and constant term factorizations.
For every k≥3 there exist finite groups that are not k-factorizable; certain groups of order 4m lack 2-m-2 factorizations under Sylow conditions; only eight groups of order ≤100 fail the property for some k.
citing papers explorer
-
Generalized quaternion NCI-groups, NNN-groups and NNND-groups
Q_{4n} is an NCI-group for all n≥2, never an NNN-group, and an NNND-group precisely when n is even and ≥6.
-
On representations of GL(n) distinguished by GL(1)*GL(n-1) over a quaternion division algebra
Formulates a conjectural classification of H_{1,n-1}-distinguished irreducible smooth representations of GL_n(D) for n>2 and proves it for n=3 and n=4.
-
Characterization of Cross varieties of $J$-trivial monoids
A variety of J-trivial monoids is Cross if and only if it excludes one of a list of 14 almost Cross varieties.
-
Tilting objects in the extended heart of a $t$-structure
Provides two characterizations of extended tilting objects in hearts of t-structure intervals, relating them to quasi-tilting objects or projective generators under conditions on the t-structures.
-
On tropical knapsack-type problems
NP-completeness of knapsack and subset sum proven for max-plus and max-times matrix semigroups, with pseudo-polynomial and polynomial algorithms demonstrated.
-
Quotient singularities by permutation actions are canonical
Quotient varieties from permutation representations of finite groups have canonical singularities in arbitrary characteristic; the associated log pair is klt except in char 2 and lc in all characteristics.
-
Truncations in languages of generalized power series and the structure of $T$-$\lambda$-spherical completions of o-minimal fields
Adapts Mourgues-Ressayre constructions to show T0-reducts of T-λ-spherical completions are truncation-closed when the power series family is closed under truncations and derivatives, yielding initial embeddings of models into surreals for exponentiation-defining theories.
-
Some factorization results for formal power series
Factorization theorems with sharp bounds and an extension of the Dumas irreducibility criterion to formal power series over PIDs and DVRs using Newton polygons and constant term factorizations.
-
Factorizations of finite groups
For every k≥3 there exist finite groups that are not k-factorizable; certain groups of order 4m lack 2-m-2 factorizations under Sylow conditions; only eight groups of order ≤100 fail the property for some k.