activity
20072023
most citedThe status of the Zassenhaus conjecture for small groups

7 citations · 14 across the 17 of their papers we have counts for

collaborators

19 papers

math.CO2023

Fusions of the Tensor Square of a Strongly Regular Graph

Allen Herman, Neha Joshi

In this paper we determine all fusions of the association scheme , where is the symmetric rank association scheme corresponding t…

math.NT2023

Zeta functions for table algebras and fusion rings with irrational-valued characters

Angelica Babei, Allen Herman

We calculate zeta functions for certain orders of rank defined by standard integral table algebras and integral fusion rings that have irrational-valued irreducible characters.…

math.CO2022

Applications of the Isolating Fusion Algorithm to Table Algebras and Association Schemes

Allen Herman, Roghayeh Maleki

Let be a basis for an -dimensional algebra over a field or commutative ring with unity. The semifusions of are the partitions of whose…

math.NT2022

Computing zeta functions of table algebra orders using local zeta integrals

Angelica Babei, Allen Herman

We investigate Solomon's zeta function for orders in the special case of orders generated by the standard basis of an integral table algebra, a special case of which is the integra…

math.CO2022

The generalized X-join of Cayley graphs

Allen Herman, Javad Bagherian, Hanieh Memarzadeh

As a main result of this paper we give conditions under which the generalized -join of Cayley graphs is a Cayley graph. In particular, we show that -join of isomorphic Cayley…

math.CO2022

Fusions of the generalized Hamming scheme on a strongly-regular graph

Allen Herman, Neha Joshi, Karen Meagher

In this paper we show that for any fusion of an association scheme , the generalized Hamming scheme is a nontrivial fusion of $H(n,\ma…