Published December 1990
| public
Journal Article
On conjectures of Guralnick and Thompson
- Creators
- Aschbacher, Michael
Abstract
Given a permutation s on a finite set Ω of order n, define c(s) to be the number of cycles of sand Ind(s) = n - c(s). Define a genus g system to be a triple ( G, Ω, S), where Ω is a finite set, G is a transitive subgroup of Sym(Ω), and S = (g_j: 1 ⩽j⩽r is a family of elements of G^# such that G = ⟨S⟩, g_1...g_r = 1, and 2(❘Ω❘ + g-1)= ∑_(j=1) Ind(g_j).
Additional Information
© 1990 Academic Press, Inc. Received 9 June 1988. Partially supported by NSF Grant DMS-8721480 and NSA Grant MDA 90-88-H-2032.Additional details
- Eprint ID
- 80053
- DOI
- 10.1016/0021-8693(90)90292-V
- Resolver ID
- CaltechAUTHORS:20170810-072647371
- DMS-8721480
- NSF
- MDA 90-88-H-2032
- NSF
- Created
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2017-08-10Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field