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2019 The classification of involutions and symmetric spaces of modular groups
Marc Besson, Jennifer Schaefer
Involve 12(4): 565-583 (2019). DOI: 10.2140/involve.2019.12.565

Abstract

The involutions and the symmetric spaces associated to the family of modular groups of order 2m 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.

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Marc Besson. Jennifer Schaefer. "The classification of involutions and symmetric spaces of modular groups." Involve 12 (4) 565 - 583, 2019. https://doi.org/10.2140/involve.2019.12.565

Information

Received: 6 July 2017; Revised: 21 August 2018; Accepted: 30 October 2018; Published: 2019
First available in Project Euclid: 30 May 2019

zbMATH: 07072540
MathSciNet: MR3941599
Digital Object Identifier: 10.2140/involve.2019.12.565

Subjects:
Primary: 20D15, 53C35

Rights: Copyright © 2019 Mathematical Sciences Publishers

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Vol.12 • No. 4 • 2019
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