Mark Greer
 Mathematics Building
Florence, AL 35632
 256 765 4476
mgreer at una.edu
www.una.edu/faculty/mgreer
Home - Teaching - Research



Research Statement, publications, etc.
 Publications:
  1. Pseudoautomorphisms of Bruck loops and their generalizations (with M.K. Kinyon), Comment. Math. Univ. Carolin. 53 (2012), 383-389.
  2. A class of loops categorically isomorphic to Bruck loops of odd order, Comm. in Algebra 42 (2014), 3682-3697.
  3. Moufang semidirect products of loops with groups and inverse property extensions (with L.S. Raney), Comment. Math. Univ. Carolin. 55 (2014), 411-420.
  4. Semiautomorphic inverseproperty loops, Comm. in Algebra 5 (2017), 2222-2237.
  5. Simple right conjugacy closed loops, Nonassociative Mathematics and its Applications, Contemporary Mathematics, 721 (2019), 151-163.
  6. Complete graph decompositions and p-groupoids (with J. Carr), Quasigroups and Related Systems, 27 (2019), 201-210.
  7. Automorphic loops and metabelian groups (with L.S. Raney), Comment. Math. Univ. Carolin. 61 (2020), 523-534.
  8. A generalization of Moufang, Steiner, and automorphic loops (with M.K. Kinyon), in preparation.
  9. Every meatablian group of odd order gives rise to an automorphic loop (with M.K. Kinyon), in preparation.

Websites:

  1. Mile High Conferences on Nonassociative Mathematics
  2. Wikipedia page of open problems in loop theory