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001 | 0000000634 | ||
003 | RPAM | ||
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008 | 140928r19891951riu o eng u | ||
020 | _a9780821899618 (online) | ||
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_aPSt _cPSt _dWaOLN _dCaOODSS _dRPAM |
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050 | 4 |
_aQA3 _b.A57 no. 2 |
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100 | 1 |
_aDieudonn�e, Jean Alexandre, _d1906- |
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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. |
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300 | _a1 online resource (vi, 123 p.) | ||
490 | 1 |
_aMemoirs of the American Mathematical Society, _x0065-9266 (print); _x1947-6221 (online); _vv. 2 |
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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 |
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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 |
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786 | _dAmerican mathematical Society | ||
830 | 0 |
_aMemoirs of the American Mathematical Society ; _vno. 2. |
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856 | 4 |
_3Contents _uhttp://www.ams.org/memo/0002 |
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856 | 4 |
_3Contents _uhttp://dx.doi.org/10.1090/memo/0002 |
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942 |
_2EBK12455 _cEBK |
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_c41749 _d41749 |