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Asymptotics of the Number of Involutions in Finite Classical Groups
| Content Provider | Semantic Scholar |
|---|---|
| Author | Fulman, Jason Guralnick, Robert P. Stanton, Dennis |
| Copyright Year | 2016 |
| Abstract | Answering a question of Geo↵ Robinson, we compute the large n limiting proportion of i GL (n, q)/qbn 2 /2c, where i GL (n, q) denotes the number of involutions in GL(n, q). We give similar results for the finite unitary, symplectic, and orthogonal groups, in both odd and even characteristic. At the heart of this work are certain new “sum=product” identities. Our self-contained treatment of the enumeration of involutions in even characteristic symplectic and orthogonal groups may also be of interest. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www-users.math.umn.edu/~stant001/PAPERS/involutions2_9_2016.pdf |
| Alternate Webpage(s) | http://www-users.math.umn.edu/~stant001/PAPERS/involutions2_18_2017v2.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Contain (action) Sense of identity (observable entity) Symplectic integrator |
| Content Type | Text |
| Resource Type | Article |
