The cohomology of the Lyons group and double covers of alternating groups

We compute the mod 2 cohomology of the sporadic simple group Ly as well as that of the double covers of the alternating groups A_8 and A_10

The Cohomology of the Sylow 2-subgroup of the Higman-Sims Group

In this paper we compute the mod 2 cohomology of the Sylow 2-subgroup of the Higman-Sims group HS, one of the 26 sporadic simple groups. We obtain its Poincare series as well as an explicit description of it as a ring with 17 generators and 79 relation

A Response to Some of the Points of: When Academic Disagreement Becomes Harassment and Persecution

An error filled complaint was recently posted on the Stanford web-site of Professor of Mathematics Education Jo Boaler. It begins:“Honest academic debate lies at the core of good scholarship. But what happens when, under the guise of academic freedom, people distort the truth in order to promote their position and discredit someone’s evidence? I have suffered serious intellectual persecution for a number of years and decided it is now time to reveal the details.”The irony of this claim of violation of honest academic debate - absolutely essential to academia - is overwhelming. Herein are addressed some of the more obvious points

Review of Final Draft Core Standards

What follows are my comments on the nal draft of the CCSSI Core Mathematics Standards. There are a number of standards including, but not limited to 1-OA(6), 2-OA(2), 2-NBT(5), 3-OA(7), 3-NBT(2), 4-OA(4), 4-OA(6), 4-NF(1), 4-NF(2), 5-OA(3), 8-G(2), 8-G(4), F-LQE(5), G-SRT(4) that are completely unique to this document, andmost of them seem problematic to me. I have repeatedly asked for references justifying the insertions of these or similar standards in previous drafts, but references have not been provided. Consequently, to my knowledge, there is no real research base for including any of these standards in the document

Embedding, compression and fiberwise homotopy theory

Given Poincare spaces M and X, we study the possibility of compressing embeddings of M x I in X x I down to embeddings of M in X. This results in a new approach to embedding in the metastable range both in the smooth and Poincare duality categories.Comment: Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol2/agt-2-15.abs.htm

The geometry and cohomology of the Mathieu group M12

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/29344/1/0000412.pd

Symmetric invariants and cohomology of groups

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/46235/1/208_2005_Article_BF01446902.pd