A note on involution centralizers in black box groups
| Autor: | Veronica Kelsey, Peter Rowley |
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| Rok vydání: | 2019 |
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| Zdroj: | Kelsey, V & Rowley, P 2019, ' A note on involution centralizers in black box groups ', Journal of Group Theory, vol. 0, no. 0 . https://doi.org/10.1515/jgth-2019-0128 |
| ISSN: | 1435-4446 1433-5883 |
| DOI: | 10.1515/jgth-2019-0128 |
| Popis: | Here we note a minor variation on the method in [J. N. Bray, An improved method for generating the centralizer of an involution, Arch. Math. (Basel) 74 2000, 4, 241–245] which enables calculations of C H ( t ) {C_{H}(t)} for H a subgroup of a black box group G and t an involution of G. We then give some applications of this, the first to investigate the action of the Lyons sporadic group via conjugation on its involutions, a number of calculations in E 6 ( 2 ) {E_{6}(2)} and E 8 ( 2 ) {E_{8}(2)} , then finally to carry out some calculations in GL 670 ( 2 ) {\mathrm{GL}_{670}(2)} . |
| Databáze: | OpenAIRE |
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