COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Junior Algebra/Logic/Number Theory seminar > Triality, two geometries and one amalgam non-uniqueness result

## Triality, two geometries and one amalgam non-uniqueness resultAdd to your list(s) Download to your calendar using vCal - Dr. Justin McInroy (Lincoln College, Oxford)
- Friday 04 November 2011, 14:00-15:00
- MR4.
If you have a question about this talk, please contact Joanna Fawcett. A polar space $\Pi$ is a geometry whose elements are the totally isotropic subspaces of a vector space $V$ with respect to either an alternating, Hermitian, or quadratic form. We may form a new geometry $\Gamma$ by removing all elements contained in either a hyperplane $F$ of $\Pi$, or a hyperplane $H$ of the dual $\Pi We will discuss two specific examples arising from the triality in $O+_8(q)$. By considering the stabilisers of a maximal flag, we get an amalgam, or “glueing”, of groups for each example. However, the two examples have “similar” amalgams – this leads to a group recognition result for their automorphism groups, $q^7:G_2(q)$ and $Spin_7(q)$. This talk is part of the Junior Algebra/Logic/Number Theory seminar series. ## This talk is included in these lists:- All CMS events
- All Talks (aka the CURE list)
- CMS Events
- DPMMS Lists
- DPMMS Pure Maths Seminar
- DPMMS info aggregator
- DPMMS lists
- Junior Algebra/Logic/Number Theory seminar
- MR4
- School of Physical Sciences
- bld31
- ndb35's list
Note that ex-directory lists are not shown. |
## Other listsWolfson Informal Lunchtime Seminar Series Lord Martin Rees: “Looking towards 2050” CJCR## Other talksVest up! Working with St John's Medical Response Team Mechanical properties of cells or cell components on the micro- and nanometer scale The Anne McLaren Lecture: CRISPR-Cas Gene Editing: Biology, Technology and Ethics Large scale vortices and zonal flows in spherical rotating convection Sacred Mountains as Flood Refuge Sites in Northwest North America Small Opuntioideae |