A geometric approach to Quillen’s conjecture
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Abstract We introduce admissible collections for a finite group 𝐺 and use them to prove that most of the finite classical groups in non-defining characteristic satisfy the Quillen dimension at 𝑝 property, a strong version of Quillen’s conjecture, at a given odd prime divisor 𝑝 of | G | \lvert G\rvert . Compared to the methods in [M. Aschbacher and S. D. Smith, On Quillen’s conjecture for the 𝑝-groups complex, Ann. of Math. (2) 137 (1993), 3, 473–529], our techniques are simpler.
2011 ◽
Vol 53
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pp. 401-410
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2017 ◽
Vol 16
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pp. 1750051
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2005 ◽
Vol 2005
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pp. 1449-1453
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1998 ◽
Vol 58
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pp. 137-145
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1977 ◽
Vol 16
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pp. 237-246
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2011 ◽
Vol 54
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pp. 423-430
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1998 ◽
Vol 57
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pp. 181-188
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1976 ◽
Vol 80
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pp. 229-231
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