The Spread of Almost Simple Classical Groups is popular PDF and ePub book, written by Scott Harper in 2021-05-25, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, The Spread of Almost Simple Classical Groups can be Read Online from any device for your convenience.
The Spread of Almost Simple Classical Groups Book PDF Summary
This monograph studies generating sets of almost simple classical groups, by bounding the spread of these groups. Guralnick and Kantor resolved a 1962 question of Steinberg by proving that in a finite simple group, every nontrivial element belongs to a generating pair. Groups with this property are said to be 3/2-generated. Breuer, Guralnick and Kantor conjectured that a finite group is 3/2-generated if and only if every proper quotient is cyclic. We prove a strong version of this conjecture for almost simple classical groups, by bounding the spread of these groups. This involves analysing the automorphisms, fixed point ratios and subgroup structure of almost simple classical groups, so the first half of this monograph is dedicated to these general topics. In particular, we give a general exposition of Shintani descent. This monograph will interest researchers in group generation, but the opening chapters also serve as a general introduction to the almost simple classical groups.
Detail Book of The Spread of Almost Simple Classical Groups PDF
- Author : Scott Harper
- Release : 25 May 2021
- Publisher : Springer Nature
- ISBN : 9783030741006
- Genre : Mathematics
- Total Page : 154 pages
- Language : English
- PDF File Size : 7,9 Mb
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