Dieudonn�e, Jean Alexandre, 1906-
On the automorphisms of the classical groups / [electronic resource] Jean Dieudonne ; with a supplement by Loo-Keng Hua. - Providence, R.I. : American Mathematical Society, 1989, c1951. - 1 online resource (vi, 123 p.) - Memoirs of the American Mathematical Society, v. 2 0065-9266 (print); 1947-6221 (online); . - Memoirs of the American Mathematical Society ; no. 2. .
Includes bibliographical references.
I. Introduction II. Automorphisms of $\textrm _n(K)$ ($n \geq 3$, $K$ sfield of characteristic $
eq 2$) III. Automorphisms of $\textrm _n(K)$ ($n \geq 3$, $K$ sfield of characteristic $
eq 2$) IV. Automorphisms of $\textrm _n(K)$ and $\textrm _n(K)$ ($n \geq 3$, $K$ sfield of characteristic 2) V. Automorphisms of $\textrm _n(K)$ and $\textrm _n(K)$ VI. Automorphisms of $\textrm _(K)$ ($K$ field of characteristic $
eq 2$) VII. Automorphisms of $\textrm _n(K)$ ($K$ field of characteristic $
eq 2$) VIII. Automorphisms of $\textrm _(K)$ ($K$ field of characteristic 2) IX. Isomorphisms between the groups $\textrm _(K)$ and the groups $\textrm _n(K')$ and $\mathfrak _r$ X. Automorphisms of $}_n(K,f)$ ($n \geq 3$, $K$ field of characteristic $
eq 2$, $f$ quadratic form of index $
u \geq 1$) XI. Automorphisms of $}^+_n(K,f)$ ($n \geq 5$, $K$ field of characteristic $
eq 2$, $f$ quadratic form of index $
u \geq 1$) XII. Automorphisms of $\textrm _n(K,f)$ and $\textrm ^+_n(K,f)$ ($n$ even $\geq 4$, $K$ field of characteristic $
eq 2$, $f$ quadratic form of index $
u \geq 1$) XIII. Automorphisms of $}\Omega _n(K,f)$ ($n \geq 6$, $K$ finite field of characteristic $
eq 2$) XIV. Automorphisms of $}\Omega _n(K,f)$ ($n$ even $\geq 10$, $K$ finite field of characteristic 2) XV. Isomorphisms between the groups $}\Omega _n(K,f)$ and $\textrm _n(K')$, $\textrm _k(K')$ or $\mathfrak _r$ ($K$ finite field) XVI. Automorphisms of $\mathrm _n(K,f)$ ($n \geq 3$, $K$ field of characteristic $
eq 2$, $f$ hermitian form of index $
u \geq 1$) XVII. Automorphisms of $U^+_n(K,f)$ ($n \geq 3$, $K$ field of characteriatic $
eq 2$, $f$ hermitian form of index $
u \geq 1$) XVIII. Automorphisms of the group $\mathrm _n(K,f)$ ($n \geq 3$, $K$ reflexive sfield of characteristic $
eq 2$, $f$ hermitian form of index $
u \geq 1$) XIX. Automorphisms of $\textrm ^+_n(K)$ ($n \geq 3$, $K$ finite field of characteristic $
eq 2$) XX. Automorphisms of $\textrm ^+_n(K)$ ($n \geq 3$, $K$ finite field of characteristic 2) XXI. Isomorphisms between the groups $\textrm ^+_n(K)$ and $\textrm _n(K')$, $\textrm _k(K')$, $\mathrm \Omega _m(K',f')$ or $\mathfrak _r$ ($K$ finite field) XXII. Conclusion Supplement to the paper of Dieudonn�e on the automorphisms of classical groups I. Linear groups II. Orthogonal groups
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821899618 (online)
Functions, Automorphic.
QA3 / .A57 no. 2
On the automorphisms of the classical groups / [electronic resource] Jean Dieudonne ; with a supplement by Loo-Keng Hua. - Providence, R.I. : American Mathematical Society, 1989, c1951. - 1 online resource (vi, 123 p.) - Memoirs of the American Mathematical Society, v. 2 0065-9266 (print); 1947-6221 (online); . - Memoirs of the American Mathematical Society ; no. 2. .
Includes bibliographical references.
I. Introduction II. Automorphisms of $\textrm _n(K)$ ($n \geq 3$, $K$ sfield of characteristic $
eq 2$) III. Automorphisms of $\textrm _n(K)$ ($n \geq 3$, $K$ sfield of characteristic $
eq 2$) IV. Automorphisms of $\textrm _n(K)$ and $\textrm _n(K)$ ($n \geq 3$, $K$ sfield of characteristic 2) V. Automorphisms of $\textrm _n(K)$ and $\textrm _n(K)$ VI. Automorphisms of $\textrm _(K)$ ($K$ field of characteristic $
eq 2$) VII. Automorphisms of $\textrm _n(K)$ ($K$ field of characteristic $
eq 2$) VIII. Automorphisms of $\textrm _(K)$ ($K$ field of characteristic 2) IX. Isomorphisms between the groups $\textrm _(K)$ and the groups $\textrm _n(K')$ and $\mathfrak _r$ X. Automorphisms of $}_n(K,f)$ ($n \geq 3$, $K$ field of characteristic $
eq 2$, $f$ quadratic form of index $
u \geq 1$) XI. Automorphisms of $}^+_n(K,f)$ ($n \geq 5$, $K$ field of characteristic $
eq 2$, $f$ quadratic form of index $
u \geq 1$) XII. Automorphisms of $\textrm _n(K,f)$ and $\textrm ^+_n(K,f)$ ($n$ even $\geq 4$, $K$ field of characteristic $
eq 2$, $f$ quadratic form of index $
u \geq 1$) XIII. Automorphisms of $}\Omega _n(K,f)$ ($n \geq 6$, $K$ finite field of characteristic $
eq 2$) XIV. Automorphisms of $}\Omega _n(K,f)$ ($n$ even $\geq 10$, $K$ finite field of characteristic 2) XV. Isomorphisms between the groups $}\Omega _n(K,f)$ and $\textrm _n(K')$, $\textrm _k(K')$ or $\mathfrak _r$ ($K$ finite field) XVI. Automorphisms of $\mathrm _n(K,f)$ ($n \geq 3$, $K$ field of characteristic $
eq 2$, $f$ hermitian form of index $
u \geq 1$) XVII. Automorphisms of $U^+_n(K,f)$ ($n \geq 3$, $K$ field of characteriatic $
eq 2$, $f$ hermitian form of index $
u \geq 1$) XVIII. Automorphisms of the group $\mathrm _n(K,f)$ ($n \geq 3$, $K$ reflexive sfield of characteristic $
eq 2$, $f$ hermitian form of index $
u \geq 1$) XIX. Automorphisms of $\textrm ^+_n(K)$ ($n \geq 3$, $K$ finite field of characteristic $
eq 2$) XX. Automorphisms of $\textrm ^+_n(K)$ ($n \geq 3$, $K$ finite field of characteristic 2) XXI. Isomorphisms between the groups $\textrm ^+_n(K)$ and $\textrm _n(K')$, $\textrm _k(K')$, $\mathrm \Omega _m(K',f')$ or $\mathfrak _r$ ($K$ finite field) XXII. Conclusion Supplement to the paper of Dieudonn�e on the automorphisms of classical groups I. Linear groups II. Orthogonal groups
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821899618 (online)
Functions, Automorphic.
QA3 / .A57 no. 2