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Characterizations of automorphic and anti-automorphic involutions of the quaternions

Linear and Multilinear Algebra, 2020
In this paper we give two characterizations of those involutions on the algebra of quaternions that are automorphisms or anti-automorphisms, one in terms of inner automorphisms and the other in ter...
Jimmie Lawson, Eyüp Kizil
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Induced Automorphisms

2014
Conference held at the Centre de Recerca Matematica ; International ...
Guirardel, Vincent, Levitt, Gilbert
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Automorphic functions and automorphic distributions

2011
Section 3.2 will provide a short “dictionary” from automorphic distribution theory (in the plane) to automorphic function theory (in II): there is slightly more information in an automorphic distribution than in an automorphic function, so that pairs of automorphic functions have to be used.
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The automorphism group of the generalized Giulietti–Korchmáros function field

, 2013
The Giulietti-Korchmaros (GK) function eld is the rst example of a maximal function eld which is not a subeld of the Hermitian function eld over the same constant eld.
Cem Güneri   +2 more
semanticscholar   +1 more source

Constructing an Automorphism From an Anti-Automorphism

Canadian Mathematical Bulletin, 1968
We consider the following problem: Let G be a group with distinct automorphisms β and σ and an anti-automorphism α such thatWhat can be said about G?If σ = α, σ is both an automorphism and an anti-automorphism so that G is abelian. Hence we assume that σ ≠ α.
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Jordan groups and automorphism groups of algebraic varieties

, 2013
The first section of this paper is focused on Jordan groups in abstract setting, the second on that in the settings of automorphisms groups and groups of birational self-maps of algebraic varieties.
V. Popov
semanticscholar   +1 more source

2d TQFT structure of the superconformal indices with outer-automorphism twists

, 2012
A bstractWe study the superconformal indices of 4d theories coming from 6d $ \mathcal{N} $ = (2, 0) theory of type Γ on a Riemann surface, with the action of the outer-automorphism σ in the trace.
Noppadol Mekareeya   +2 more
semanticscholar   +1 more source

On Automorphism Groups of the Fields of Automorphic Functions

The Annals of Mathematics, 1972
The purpose of this paper is to determine the group of all automorphisms of the field generated by automorphic functions with respect to infinitely many mutually commensurable discrete subgroups of the group of all automorphisms of a bounded symmetric domain. In the case where either the dimension of the domain is one or the quotient spaces are compact,
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Number of Automorphisms

1990
This cardinal function is not related very much to the preceding ones. To start with, we state some general facts about the size of automorphism groups in BAs; for proofs or references, see the chapter on automorphism groups in the BA handbook.
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