University of Birmingham > Talks@bham > Algebra seminar > Finite simple groups, prime order elements and width

## Finite simple groups, prime order elements and widthAdd to your list(s) Download to your calendar using vCal - Alex Malcolm (Bristol)
- Thursday 25 February 2021, 15:00-16:00
- http://tinyurl.com/bhamalgsem.
If you have a question about this talk, please contact Lewis Topley. The generation of finite simple groups has been a thriving area of research for many years. Since it was established that each is generated by a pair of elements, many interesting refinements have followed: for instance, determining the existence of generating pairs of prescribed orders. More recently the notion of width has provided an additional perspective on generation, measuring how efficiently a chosen subset generates a group. For example we may ask, can every element be written as a product of at most 2, or perhaps 3, elements from a fixed conjugacy class? Answering such questions relies on a range of tools involving subgroup structure and character theory. In this talk we will examine the width of finite simple groups with respect to elements of a fixed prime order. We will report on sharp bounds for particular families, and answer questions concerning Lie-type groups of unbounded rank. This talk is part of the Algebra seminar series. ## This talk is included in these lists:Note that ex-directory lists are not shown. |
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