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 > Generating Sequences of Finite Groups

## Generating Sequences of Finite GroupsAdd to your list(s) Download to your calendar using vCal - Benjamin Nachman, University of Cambridge
- Friday 01 February 2013, 14:00-15:00
- MR4.
If you have a question about this talk, please contact Joanna Fawcett. In an analogy with bases in vector spaces, one can define a notion of independent generating sets for a group. While these sets share some properties with vector space bases, in general they are very different. In particular, one important fact about n-dimensional vector space bases is that given a set of m < n linearly independent vectors, one can replace m of the original basis vectors with the new set. This property has been studied in the context of groups under the name of the replacement property. We will discuss the replacement property for groups and how it can be used to study the independent generating sequences of finite groups. Then, we will focus on a particular example in the family of groups PSL . The collaboration for this research includes Keith Dennis (Cornell) and Dan Collins (Princeton). 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
Note that ex-directory lists are not shown. |
## Other listsThe Cambridge University City Seminar at CRASSH Fitzwilliam Museum lunchtime talk Institute of Continuing Education## Other talksFar from the deafening crowd: the effects of noise pollution on songbirds Brain circuits that govern sleep and wakefulness TBC Achlioptas processes and truncated stochastic coalescence POLIS Department Seminar - Rising Powers and State Transformation: The Case of China Stalinist Subjectivity in the Georgian NKVD during the Great Terror |