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August 2020 Radical subgroups and the inductive blockwise Alperin weight conditions for $\mathrm{PSp}_4(q)$
Julian Brough, A. A. Schaeffer Fry
Rocky Mountain J. Math. 50(4): 1181-1205 (August 2020). DOI: 10.1216/rmj.2020.50.1181

Abstract

We determine explicitly the 2-radical subgroups and their normalizers for the group Sp4(q), where q is odd. We then show that the corresponding simple group PSp4(q) satisfies the inductive blockwise Alperin weight conditions for the prime 2 and odd primes dividing q21. When combined with existing literature, this completes the verification that PSp4(q) satisfies the conditions for all primes and all choices of q.

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Julian Brough. A. A. Schaeffer Fry. "Radical subgroups and the inductive blockwise Alperin weight conditions for $\mathrm{PSp}_4(q)$." Rocky Mountain J. Math. 50 (4) 1181 - 1205, August 2020. https://doi.org/10.1216/rmj.2020.50.1181

Information

Received: 12 July 2019; Revised: 7 January 2020; Accepted: 9 January 2020; Published: August 2020
First available in Project Euclid: 29 September 2020

zbMATH: 07261859
MathSciNet: MR4154802
Digital Object Identifier: 10.1216/rmj.2020.50.1181

Subjects:
Primary: 20C15, 20C20, 20C33

Rights: Copyright © 2020 Rocky Mountain Mathematics Consortium

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Vol.50 • No. 4 • August 2020
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