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Abstract
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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.
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Keywords
modular 2-group, symmetric spaces, automorphisms,
involutions
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Mathematical Subject Classification 2010
Primary: 20D15, 53C35
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Milestones
Received: 6 July 2017
Revised: 21 August 2018
Accepted: 30 October 2018
Published: 16 April 2019
Communicated by Kenneth S. Berenhaut
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