p-Johnson homomorphisms and pro-p groups
نویسندگان
چکیده
منابع مشابه
Character degrees of p-groups and pro-p groups
In the 1970s, Isaacs conjectured that there should be a logarithmic bound for the length of solvability of a p-group G with respect to the number of different irreducible character degrees of G. So far, there are just a few partial results for this conjecture. In this note, we say that a pro-p group G has property (I) if there is a real number D = D(G) that just depends on G such that for any o...
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We regret to record the death of Dr. P. P. Johnson, of Yatton, .after a long and painful illness, borne with much fortitude. Dr. Johnson was 57 years of age, and was educated at Sedbergh, afterwards proceeding to Edinburgh University, where he took his degree in 1877. He practised for over nine years at Littleborough, in Lancashire, and for a short time in Starbotton, Yorkshire, and came to Yat...
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Let Γ be a finitely presentable pro-p group such that def(Γ) > 0. If Γ has a nontrivial finitely generated closed normal subgroup N of infinite index then def(Γ) = 1, N is a free pro-p group and Γ/N is virtually free. If π is a finitely presentable group with β (2) 1 (π) = 0 then def(π) ≤ 1, with equality only if c.d.π = 2 or π ∼= Z. (See Theorem 2.5 of [1].) The L-Betti number condition holds ...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2017
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2017.01.028