منابع مشابه
On Hadamard 2-groups
For any given 2-group H there exists an Hadamard 2-group G containing a subgroup isomorphic to H. §
متن کاملNote on Hadamard groups and difference sets
A representation theoretical characterization of an Hadamard subset is given. §l. Introduction. A finite group G of order 2n is called an Hadamard group if G contains an n-subset D and an element e* such that (1) D and De*,are disjoint, (2) D and Da intersect exactly in n/2 elements for any element a of G distinct from e* and the identity element e of G, and (3) Da and {b, be*} intersect exactl...
متن کاملAutomorphism Groups of Hadamard Matrices *
Automorphism groupS of Hadamard matrices are related to automorphism groups of de.Jigns, and the automorphism groups of the Paley-Hadamard matrices are determined .
متن کاملUniform growth of groups acting on Cartan-Hadamard spaces
We say that Γ has uniform exponential growth if Ent Γ > 0. In [11], remarque 5.12, M. Gromov raised the question whether exponential growth always implies uniform exponential growth. The answer is negative, indeed, in [14] J.S. Wilson gave examples of finitely generated groups of exponential growth and non uniform exponential growth. Nevertheless, exponential growth implies uniform exponential ...
متن کاملStructure and automorphism groups of Hadamard designs ∗
Let n be the order of a Hadamard design, and G any finite group. Then there exists many non-isomorphic Hadamard designs of order 212|G|+13n with automorphism group isomorphic to G.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1994
ISSN: 0021-8693
DOI: 10.1006/jabr.1994.1319