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The Ring Generated by the Elements of Degree 2 in H*(Un(Fp), Z)

✍ Scribed by Adrian Barbu

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
108 KB
Volume
237
Category
Article
ISSN
0021-8693

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✦ Synopsis

We compute all the relations in cohomology satisfied by the elements of degree Ž Ž . . Ž . two of H * U ‫ކ‬ , ‫ޚ‬ where p G n and U ‫ކ‬ is the group of upper triangular n p n p Ž . matrices of GL ‫ކ‬ with 1 on the main diagonal. ᮊ 2001 Academic Press n p n p principle, from the cohomology of one of its p-Sylow subgroups, namely Ž . Ž . U ‫ކ‬ , the group of upper triangular matrices of GL ‫ކ‬ with 1 on the n p n p diagonal. Ž . w x Lewis computed the integral cohomology of U ‫ކ‬ in Le . Tezuka and 3 p

Ž .

Yagita used Lewis's result to find the mod p cohomology of GL ‫ކ‬ using 3 p exactly the method described above.

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