|
|||||
 |
|
|
|
|
|
|
|
The
classification of involutions and symmetric spaces of modular
groups
Marc Besson and Jennifer Schaefer
Vol. 12 (2019), No. 4, 565–583
DOI: 10.2140/involve.2019.12.565
|
Abstract |
|
The involutions and the symmetric spaces associated to the family of modular groups of order are explored. We begin by analyzing the structure of the automorphism group and by establishing which automorphisms are involutions. We conclude by calculating the fixed-point group and symmetric spaces determined by each involution. |
Keywords
modular 2-group, symmetric spaces, automorphisms,
involutions
|
Mathematical Subject Classification 2010
Primary: 20D15, 53C35
|
Milestones
Received: 6 July 2017
Revised: 21 August 2018
Accepted: 30 October 2018
Published: 16 April 2019
Communicated by Kenneth S. Berenhaut
|
Authors |
| Marc Besson | |
| Mathematics Department University of North Carolina at Chapel Hill Chapel Hill, NC United States |
|
| Jennifer Schaefer | |
| Department of Mathematics and
Computer Science Dickinson College Carlisle, PA United States |
|
