Michael P. Allocca

activity

20102025

A_{\infty}

Algebra Example

2 citations · 2 across the 2 of their papers we have counts for

collaborators

3 papers

math.GR2025

Perturbation Effects on Word Lengths in Three-Reflection Symmetric Presentations of Dihedral Groups

Michael Allocca, Max Trimmer

We investigate the properties of word lengths of elements from a three-reflection symmetric generating set of the dihedral group $D_{n}$ . Specifically, we provide the upper bound $λ_…

math.CO2015

Word Length Perturbations in Certain Symmetric Presentations of Dihedral Groups

Michael P. Allocca, Jason M. Graham, Candice R. Price +2

Given a finite group with a generating subset there is a well-established notion of length for a group element given in terms of its minimal length expression as a product of eleme…

math.AT2010★ 2 cited

A Finite Dimensional $A_{\infty}$ Algebra Example

Michael P. Allocca, Tom Lada

We construct an example of an $A_{\infty}$ algebra structure defined over a finite dimensional graded vector space.

Perturbation Effects on Word Lengths in Three-Reflection Symmetric Presentations of Dihedral Groups

Word Length Perturbations in Certain Symmetric Presentations of Dihedral Groups

A Finite Dimensional A∞​ Algebra Example

A Finite Dimensional $A_{\infty}$ Algebra Example