An outer automorphism of G is an automorphism which cannot be expressed in this form for h in G, but can be so expressed if h belongs to a larger group ... |
20 окт. 2012 г. · Another rather accessible example of an outer automorphism can be found on matrix groups: Look at the inverse transpose map GL(n,F)→GL(n,F),A↦(A ... What is the outer automorphism group? What is an outer automorphism? - Mathematics Stack Exchange Другие результаты с сайта math.stackexchange.com |
In group theory, a branch of mathematics, the automorphisms and outer automorphisms of the symmetric groups and alternating groups are both standard examples |
29 авг. 2017 г. · Outer automorphisms of a group are automorphisms which are not induced by conjugation by elements of the group itself. |
There exists exactly one outer automorphism of S6 (up to composition with an inner automorphism), so that. |Aut(S6)| = 1440. Meena Jagadeesan, Karthik Karnik ... |
9 февр. 2010 г. · The group of outer automorphisms of a simple Lie algebra are precisely the group of graph automorphisms of the associated Dynkin diagram. What is the outer automorphism group of SU(n)? - MathOverflow What is the outer automorphism group of - SL - ( - 2, F Finite groups which have trivial outer automorphism group Outer automorphism of a finite simple group which is ... Другие результаты с сайта mathoverflow.net |
30 апр. 2021 г. · We then show that the outer automorphism groups are not relatively hyperbolic, if they are not virtually isomorphic to a right-angled Artin ... |
Matumoto proved that every group is a group of outer automorphisms of some group (in contrast, there are groups, e.g., Z, that are not full automorphism groups ... |
Khramtsov [12] proved in 1990 that the outer automorphism group Out ( F n ) of a free group F n of finite rank n ⩾ 3 is complete; his proof used the results ... |
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