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020 _a9780821899618 (online)
040 _aPSt
_cPSt
_dWaOLN
_dCaOODSS
_dRPAM
050 4 _aQA3
_b.A57 no. 2
100 1 _aDieudonn�e, Jean Alexandre,
_d1906-
245 1 0 _aOn the automorphisms of the classical groups /
_h[electronic resource]
_cJean Dieudonne ; with a supplement by Loo-Keng Hua.
260 _aProvidence, R.I. :
_bAmerican Mathematical Society,
_c1989, c1951.
300 _a1 online resource (vi, 123 p.)
490 1 _aMemoirs of the American Mathematical Society,
_x0065-9266 (print);
_x1947-6221 (online);
_vv. 2
504 _aIncludes bibliographical references.
505 0 0 _tI. Introduction
_tII. Automorphisms of $\textrm {GL}_n(K)$ ($n \geq 3$, $K$ sfield of characteristic $\neq 2$)
_tIII. Automorphisms of $\textrm {PGL}_n(K)$ ($n \geq 3$, $K$ sfield of characteristic $\neq 2$)
_tIV. Automorphisms of $\textrm {GL}_n(K)$ and $\textrm {PGL}_n(K)$ ($n \geq 3$, $K$ sfield of characteristic 2)
_tV. Automorphisms of $\textrm {SL}_n(K)$ and $\textrm {PSL}_n(K)$
_tVI. Automorphisms of $\textrm {Sp}_{2m}(K)$ ($K$ field of characteristic $\neq 2$)
_tVII. Automorphisms of $\textrm {PSp}_n(K)$ ($K$ field of characteristic $\neq 2$)
_tVIII. Automorphisms of $\textrm {Sp}_{2m}(K)$ ($K$ field of characteristic 2)
_tIX. Isomorphisms between the groups $\textrm {PSp}_{2m}(K)$ and the groups $\textrm {PSL}_n(K')$ and $\mathfrak {A}_r$
_tX. Automorphisms of ${\mathrm {O}}_n(K,f)$ ($n \geq 3$, $K$ field of characteristic $\neq 2$, $f$ quadratic form of index $\nu \geq 1$)
_tXI. Automorphisms of ${\mathrm {O}}^+_n(K,f)$ ($n \geq 5$, $K$ field of characteristic $\neq 2$, $f$ quadratic form of index $\nu \geq 1$)
_tXII. Automorphisms of $\textrm {PO}_n(K,f)$ and $\textrm {PO}^+_n(K,f)$ ($n$ even $\geq 4$, $K$ field of characteristic $\neq 2$, $f$ quadratic form of index $\nu \geq 1$)
_tXIII. Automorphisms of ${\mathrm {P}}\Omega _n(K,f)$ ($n \geq 6$, $K$ finite field of characteristic $\neq 2$)
_tXIV. Automorphisms of ${\mathrm {P}}\Omega _n(K,f)$ ($n$ even $\geq 10$, $K$ finite field of characteristic 2)
_tXV. Isomorphisms between the groups ${\mathrm {P}}\Omega _n(K,f)$ and $\textrm {PSL}_n(K')$, $\textrm {PSp}_k(K')$ or $\mathfrak {A}_r$ ($K$ finite field)
_tXVI. Automorphisms of $\mathrm {U}_n(K,f)$ ($n \geq 3$, $K$ field of characteristic $\neq 2$, $f$ hermitian form of index $\nu \geq 1$)
_tXVII. Automorphisms of $U^+_n(K,f)$ ($n \geq 3$, $K$ field of characteriatic $\neq 2$, $f$ hermitian form of index $\nu \geq 1$)
_tXVIII. Automorphisms of the group $\mathrm {U}_n(K,f)$ ($n \geq 3$, $K$ reflexive sfield of characteristic $\neq 2$, $f$ hermitian form of index $\nu \geq 1$)
_tXIX. Automorphisms of $\textrm {PU}^+_n(K)$ ($n \geq 3$, $K$ finite field of characteristic $\neq 2$)
_tXX. Automorphisms of $\textrm {PU}^+_n(K)$ ($n \geq 3$, $K$ finite field of characteristic 2)
_tXXI. Isomorphisms between the groups $\textrm {PU}^+_n(K)$ and $\textrm {PSL}_n(K')$, $\textrm {PSp}_k(K')$, $\mathrm {P}\Omega _m(K',f')$ or $\mathfrak {A}_r$ ($K$ finite field)
_tXXII. Conclusion
_tSupplement to the paper of Dieudonn�e on the automorphisms of classical groups
_tI. Linear groups
_tII. Orthogonal groups
506 1 _aAccess is restricted to licensed institutions
533 _aElectronic reproduction.
_bProvidence, Rhode Island :
_cAmerican Mathematical Society.
_d2012
538 _aMode of access : World Wide Web
588 _aDescription based on print version record.
650 0 _aFunctions, Automorphic.
700 1 0 _aLoo-keng, Hua.
776 0 _iPrint version:
_aDieudonn�e, Jean Alexandre, 1906-
_tOn the automorphisms of the classical groups /
_x0065-9266
_z9780821812020
786 _dAmerican mathematical Society
830 0 _aMemoirs of the American Mathematical Society ;
_vno. 2.
856 4 _3Contents
_uhttp://www.ams.org/memo/0002
856 4 _3Contents
_uhttp://dx.doi.org/10.1090/memo/0002
942 _2EBK12455
_cEBK
999 _c41749
_d41749