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pro vyhledávání: '"Glauberman, George"'
Autor:
Glauberman, George, Lynd, Justin
We study the higher derived limits of mod $p$ cohomology on the centric orbit category of a saturated fusion system on a finite $p$-group. It is an open problem whether all such higher limits vanish. This is known in many cases, including for fusion
Externí odkaz:
http://arxiv.org/abs/2310.05361
Autor:
Glauberman, George, Lynd, Justin
Publikováno v:
Forum of Mathematics, Sigma 9 (2021) e23
A rigid automorphism of a linking system is an automorphism which restricts to the identity on the Sylow subgroup. A rigid inner automorphism is conjugation by an element in the center of the Sylow subgroup. At odd primes, it is known that each rigid
Externí odkaz:
http://arxiv.org/abs/1909.13370
Publikováno v:
Israel J. Math. 240 (2020), no. 1, 253-266
Suppose that p is an odd prime and G is a finite group having no normal non-trivial p'-subgroup. We show that if a is an automorphism of G of p-power order centralizing a Sylow p-group of G, then a is inner. This answers a conjecture of Gross. An eas
Externí odkaz:
http://arxiv.org/abs/1901.07048
M.Newman has asked if it is the case that whenever H and K are isomorphic subgroups of a finite solvable group G with H maximal, then K is also maximal. This question was considered in a paper of I.M. Isaacs and the second author, where (among other
Externí odkaz:
http://arxiv.org/abs/1809.08821
Akademický článek
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Autor:
Glauberman, George, Lynd, Justin
Publikováno v:
Invent. Math. 206 (2016), no. 2, 441-484
A. Chermak has recently proved that to each saturated fusion system over a finite $p$-group, there is a unique associated centric linking system. B. Oliver extended Chermak's proof by showing that all the higher cohomological obstruction groups relev
Externí odkaz:
http://arxiv.org/abs/1506.01307
Publikováno v:
In Journal of Algebra 15 August 2019 532:1-7
