Results 111 to 120 of about 80,484 (161)

Analysis and prediction of schizophrenia patients based on high-order graph attention generative adversarial networks. [PDF]

open access: yesSci Rep
Yin G   +11 more
europepmc   +1 more source

Topological Reflection Groups

Canadian Journal of Mathematics, 1980
Let G be a closed subgroup of one of the classical compact groups 0(n), U(n), Sp(n). By a reflection we mean a matrix in one of these groups which is conjugate to the diagonal matrix diag (–1, 1, …, 1). We say that G is a topological reflection group (t.r.g.) if the subgroup of G generated by all reflections in G is dense in G.It was shown recently by ...
openaire   +2 more sources

-topological groups and its level L-topological groups

Fuzzy Sets and Systems, 2007
Let \(X\) be a group. The authors show that an \(I(L)\)-topology on \(X\) compatible with the group structure is essentially a \([0,1)\)-indexed chain of \(L\)-topologies on \(X\) compatible with the group structure.
Zhang, Hua-Peng, Fang, Jin-Xuan
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Subgroups of Free Topological Groups and Free Topological Products of Topological Groups

Journal of the London Mathematical Society, 1975
Introduction Our objectives are topological versions of the Nielsen-Schreier Theorem on subgroups of free groups, and the Kurosh Theorem on subgroups of free products of groups. It is known that subgroups of free topological groups need not be free topological [2, 6, and 9].
Brown, R., Hardy, J. P. L.
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(CA) Topological Groups

Proceedings of the American Mathematical Society, 1976
A locally compact topological group G is called (C4) if the group of inner automorphisms of G is closed in the group of all bicontinuous automorphisms of G. We show that each non-(C4) locally compact connect- ed group G can be written as a semidirect product of a (C A) locally compact connected group by a vector group.
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