activity
20102023
most citedMorita equivalence classes of blocks with elementary abelian defect groups of order 32

13 citations · 19 across the 8 of their papers we have counts for

collaborators

9 papers

cs.CY2023★ 4 cited

Contra generative AI detection in higher education assessments

Cesare G. Ardito

This paper presents a critical analysis of generative Artificial Intelligence (AI) detection tools in higher education assessments. The rapid advancement and widespread adoption of…

math.RT2020

Broué's Conjecture for 2-blocks with elementary abelian defect groups of order 32

Cesare G. Ardito, Benjamin Sambale

The first author has recently classified the Morita equivalence classes of 2-blocks B of finite groups with elementary abelian defect group of order 32. In all but three cases he p…

math.RT2020★ 2 cited

2-blocks with an abelian defect group and a freely acting cyclic inertial quotient

Cesare Giulio Ardito, Elliot McKernon

We study blocks with an abelian defect group and a cyclic inertial quotient acting freely but not transitively. We prove that when p=2, such blocks are inertial, i.e. basic Morita…

math.RT2020

Morita equivalence classes of principal blocks with elementary abelian defect groups of order 64

Cesare Giulio Ardito

We classify the Morita equivalence classes of principal blocks with elementary abelian defect groups of order 64 with respect to a complete discrete valuation ring with an algebrai…

math.RT2019

Cartan matrices and Brauer's k(B)-Conjecture V

Cesare G. Ardito, Benjamin Sambale

We prove Brauer's k(B)-Conjecture for the 3-blocks with abelian defect groups of rank at most 5 and for all 3-blocks of defect at most 4. For this purpose we develop a computer alg…

math.RT2019★ 13 cited

Morita equivalence classes of blocks with elementary abelian defect groups of order 32

Cesare Giulio Ardito

We describe a general technique to classify blocks of finite groups, and we apply it to determine Morita equivalence classes of blocks with elementary abelian defect groups of orde…