Involve: A Journal of Mathematics

  • Involve
  • Volume 10, Number 4 (2017), 665-676.

On the structure of symmetric spaces of semidihedral groups

Jennifer Schaefer and Kathryn Schlechtweg

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Abstract

We investigate the symmetric spaces associated to the family of semidihedral groups of order 2n . We begin this study by analyzing the structure of the automorphism group and by determining which automorphims are involutions. We then determine the symmetric spaces corresponding to each involution and the orbits of the fixed-point groups on these spaces.

Article information

Source
Involve, Volume 10, Number 4 (2017), 665-676.

Dates
Received: 3 February 2016
Revised: 20 April 2016
Accepted: 12 May 2016
First available in Project Euclid: 12 December 2017

Permanent link to this document
https://projecteuclid.org/euclid.involve/1513097144

Digital Object Identifier
doi:10.2140/involve.2017.10.665

Mathematical Reviews number (MathSciNet)
MR3630309

Zentralblatt MATH identifier
06699712

Subjects
Primary: 20D15: Nilpotent groups, $p$-groups 53C35: Symmetric spaces [See also 32M15, 57T15]

Keywords
semidihedral group quasidihedral group symmetric spaces automorphisms involutions

Citation

Schaefer, Jennifer; Schlechtweg, Kathryn. On the structure of symmetric spaces of semidihedral groups. Involve 10 (2017), no. 4, 665--676. doi:10.2140/involve.2017.10.665. https://projecteuclid.org/euclid.involve/1513097144


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References

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