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1

van den Essen, Arno. Polynomial Automorphisms. Basel: Birkhäuser Basel, 2000. http://dx.doi.org/10.1007/978-3-0348-8440-2.

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2

Davies, D. H. Automorphisms of designs. Norwich: University of East Anglia, 1987.

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3

Passi, Inder Bir Singh, Mahender Singh, and Manoj Kumar Yadav. Automorphisms of Finite Groups. Singapore: Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-2895-4.

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4

van den Essen, Arno, ed. Automorphisms of Affine Spaces. Dordrecht: Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-015-8555-2.

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5

Takhar, Rita. Automorphisms of free products. Birmingham: University of Birmingham, 1989.

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6

Webb, Bridget S. Automorphisms of finite incidence structures. Norwich: University of East Anglia, 1992.

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7

Hudson, Sebastian Thomas. Rigid automorphisms of generalised trees. Birmingham: University of Birmingham, 1997.

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8

McCullough, Darryl. Symmetric automorphisms of free products. Providence, R.I: American Mathematical Society, 1996.

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9

Richard, Kaye, and Macpherson Dugald, eds. Automorphisms of first-order structures. Oxford: Clarendon Press, 1994.

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10

Khukhro, Evgenii I. Nilpotent groups and their automorphisms. Berlin: W. de Gruyter, 1993.

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11

Castelluccio, Antonia. CMT-automorphisms of F[inferior n]. Birmingham: University of Birmingham, 2000.

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12

van den Essen, Arno, Shigeru Kuroda, and Anthony J. Crachiola. Polynomial Automorphisms and the Jacobian Conjecture. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-60535-3.

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13

Cheltsov, Ivan, Ciro Ciliberto, Hubert Flenner, James McKernan, Yuri G. Prokhorov, and Mikhail Zaidenberg, eds. Automorphisms in Birational and Affine Geometry. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-05681-4.

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14

Kharchenko, V. K. Automorphisms and Derivations of Associative Rings. Dordrecht: Springer Netherlands, 1991. http://dx.doi.org/10.1007/978-94-011-3604-4.

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15

Kharchenko, V. K. Automorphisms and derivations of associative rings. Dordrecht: Kluwer Academic Publishers, 1991.

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16

Casson, Andrew J. Automorphisms of surfaces after Nielsen and Thurston. Cambridge [England]: Cambridge University Press, 1988.

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17

Weiss, Michael S. Automorphisms of manifolds and algebraic K-theory. Providence, Rhode Island: American Mathematical Society, 2014.

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18

Gromadzki, Grzegorz. Groups of automorphisms of compact Riemann and Klein surfaces. Bydgoszcz: Wydawnictwo Uczelniane WSP w Bydgoszczy, 1993.

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19

Luksch, Christine. Die Automorphismengruppe der Polynomgeometrie vom Grad n. Giessen: Selbstverlag des Mathematischen Instituts, 1987.

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20

Leedham-Green, C. R. The structure of groups of prime power order. Oxford: Oxford University Press, 2002.

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21

Abdel-Gawad, Abdel-Gawad Abu-Elfadl. On automorphisms of free groups and surface groups. Birmingham: University of Birmingham, 1985.

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22

Stanley, Catherine. The decomposition of automorphisms of modules over rings. Toronto: [s.n.], 1995.

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23

Adeleke, S. A. Relations related to betweenness: Their structure and automorphisms. Providence, R.I: American Mathematical Society, 1998.

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24

Mudamburi, Nolan Jatiel Zifambi. Simplicial complexes based on automorphisms of free products. Birmingham: University of Birmingham, 1996.

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25

Meixner, Thomas. Klassische Tits Kammersysteme mit einer transitiven Automorphismengruppe. Giessen: Selbstverlag des Mathematischen Instituts, 1986.

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26

Izquierdo, Milagros, S. Broughton, Antonio Costa, and Rubí Rodríguez, eds. Riemann and Klein Surfaces, Automorphisms, Symmetries and Moduli Spaces. Providence, Rhode Island: American Mathematical Society, 2014. http://dx.doi.org/10.1090/conm/629.

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27

Aramayona, Javier, Volker Diekert, Christopher J. Leininger, Pedro V. Silva, and Armin Weiß. Algorithmic and Geometric Topics Around Free Groups and Automorphisms. Edited by Juan González-Meneses, Martin Lustig, and Enric Ventura. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-60940-9.

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28

Vsesoi͡uznyĭ nauchno-issledovatelʹskiĭ institut sistemnykh issledovaniĭ, ed. Issledovanii͡a po algebraicheskoĭ teorii kombinatornykh obʺektov: Trudy seminara. Moskva: VNIISI, 1985.

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29

Rubin, Matatyahu. The reconstruction of trees from their automorphism groups. Providence, R.I: American Mathematical Society, 1993.

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30

Kechris, A. S. Global aspects of ergodic group actions. Providence, R.I: American Mathematical Society, 2010.

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31

Camina, A. R. Linear groups and permutations. Boston: Pitman Advanced Publishing Program, 1985.

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32

1974-, Groves Daniel, ed. The quadratic isoperimetric inequality for mapping tori of free group automorphisms. Providence, R.I: American Mathematical Society, 2010.

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33

Isidro, José M. Holomorphicautomorphism groups in Banach spaces: An elementary introduction. Amsterdam: North-Holland, 1985.

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34

Wootton, Aaron, S. Broughton, and Jennifer Paulhus, eds. Automorphisms of Riemann Surfaces, Subgroups of Mapping Class Groups and Related Topics. Providence, Rhode Island: American Mathematical Society, 2022. http://dx.doi.org/10.1090/conm/776.

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35

Liebeck, M. W. The maximal factorizations of the finite simple groups and their automorphism groups. Providence, R.I., USA: American Mathematical Society, 1990.

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36

Liebeck, M. W. The maximal factorizations of the finite simple groups and their automorphism groups. Providence, R.I., USA: American Mathematical Society, 1990.

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37

Camina, A. R. Linear groups and permutations. Boston: Pitman, 1985.

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38

Castel, Fabrice. Geometric representations of the braid groups. Paris: Sociéte mathématique de France, 2016.

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39

Emilio, Bujalance García, ed. Automorphism groups of compact bordered Klein surfaces: A combinatorial approach. Berlin: Springer-Verlag, 1990.

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40

Jan, Rogulski, ed. On the stratification of the orbit space for the action of automorphisms on connections. Warszawa: Państowowe Wydawn. Nauk., 1986.

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41

M¨uhlherr, Bernhard, Holger P. Petersson, and Richard M. Weiss. Linear Automorphisms. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691166902.003.0029.

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This chapter considers the notion of a linear automorphism of an arbitrary spherical building satisfying the Moufang property. It begins with the notation whereby Ω‎ = (U₊, U₁, ..., Uₙ) is the root group sequence and x₁, ... , xₙ the isomorphisms obtained by applying the recipe in [60, 16.x] for x = 1, 2, 3, ... or 9 to a parameter system Λ‎ of the suitable type (and for suitable n) and Δ‎ is the corresponding Moufang n-gon. The chapter proceeds by looking at cases where Λ‎ is a proper anisotropic pseudo-quadratic space defined over an involutory set or a quadratic space of type E⁶, E₇ or E₈. It also describes a notation dealing with the Moufang spherical building with Coxeter diagram Λ‎, an apartment of Δ‎, and a chamber of Σ‎.
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42

Essen, Arno Van Den. Polynomial Automorphisms. Springer, 2012.

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43

Polynomial Automorphisms. Island Press, 2000.

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44

M¨uhlherr, Bernhard, Holger P. Petersson, and Richard M. Weiss. Strictly Semi-linear Automorphisms. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691166902.003.0030.

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This chapter considers the action of a strictly semi-linear automorphism fixing a root on the corresponding root group. It begins with the hypothesis whereby Δ‎ is a Moufang spherical building and Π‎ is the Coxeter diagram of Δ‎; here the chapter fixes an apartment Σ‎ of Δ‎ and a root α‎ of Σ‎. The discussion then turns to a number of assumptions about an isomorphism of Moufang sets, anisotropic quadratic space, and root group sequence, followed by a lemma where E is an octonion division algebra with center F and norm N and D is a quaternion subalgebra of E. The chapter concludes with three versions of what is really one result about fixed points of non-linear automorphisms of the Moufang sets.
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45

Lauri, Josef, and Raffaele Scapellato. Topics in Graph Automorphisms and Reconstruction. Cambridge University Press, 2016.

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46

Singh, Mahender, Inder Bir Singh Passi, and Manoj Kumar Yadav. Automorphisms of Finite Groups. Springer, 2019.

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47

Essen, Arno van den. Automorphisms of Affine Spaces. Springer, 2013.

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48

Essen, Arno van den. Automorphisms of Affine Spaces. Springer, 2010.

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49

Murakami, S. On Automorphisms of Siegel Domains. Springer London, Limited, 2006.

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50

Nilpotent Groups and Their Automorphisms. De Gruyter, Inc., 1993.

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