메뉴 건너뛰기




Volumn 18, Issue 5, 2009, Pages 1564-1608

Linear representations of the automorphism group of a free group

Author keywords

Automorphism groups of free groups; Linear representations; Relation modules

Indexed keywords


EID: 84855790580     PISSN: 1016443X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00039-009-0702-2     Document Type: Article
Times cited : (64)

References (35)
  • 1
    • 84968505706 scopus 로고
    • Induced automorphisms of free groups and free metabelian groups
    • S. Bachmuth, Induced automorphisms of free groups and free metabelian groups, Trans. Amer. Math. Soc. 122 (1966), 1-17.
    • (1966) Trans. Amer. Math. Soc , vol.122 , pp. 1-17
    • Bachmuth, S.1
  • 3
    • 0003316111 scopus 로고
    • Braids, Links and Mapping Class Groups
    • Princeton Univ. Press, Princeton
    • J. Birman, Braids, Links and Mapping Class Groups, Ann. of Math. Stud. 82, Princeton Univ. Press, Princeton, 1974.
    • (1974) Ann. of Math. Stud , vol.82
    • Birman, J.1
  • 5
    • 84905045032 scopus 로고
    • Springer Verlag, New York, Berlin, Heidelberg
    • M. Deuring, Algebren, Ergebnisse 41, Springer Verlag, New York, Berlin, Heidelberg (1968).
    • (1968) Algebren, Ergebnisse , vol.41
    • Deuring, M.1
  • 6
    • 0030114739 scopus 로고    scopus 로고
    • Low dimensional representations of Aut(F2)
    • D. Djoković, V. Platonov, Low dimensional representations of Aut(F2), Manuscripta Math. 89 (1996), 475-509.
    • (1996) Manuscripta Math , vol.89 , pp. 475-509
    • Djoković, D.1    Platonov, V.2
  • 9
    • 84962994181 scopus 로고
    • Presentations of groups involving more generators than are necessary
    • M. Evans, Presentations of groups involving more generators than are necessary, Proc. London Math. Soc. 67 (1993), 106-126.
    • (1993) Proc. London Math. Soc , vol.67 , pp. 106-126
    • Evans, M.1
  • 10
    • 84971189224 scopus 로고
    • T-systems of certain finite simple groups
    • M. Evans, T-systems of certain finite simple groups, Math. Proc. Cambridge Philos. Soc. 113 (1993), 9-22.
    • (1993) Math. Proc. Cambridge Philos. Soc , vol.113 , pp. 9-22
    • Evans, M.1
  • 11
    • 38249017074 scopus 로고
    • Characterizing a free group in its automorphism group
    • E. Formanek, Characterizing a free group in its automorphism group, J. Algebra, 133, (1990), 424-432.
    • (1990) J. Algebra , vol.133 , pp. 424-432
    • Formanek, E.1
  • 12
    • 0001543830 scopus 로고
    • The automorphism group of a free group is not linear
    • E. Formanek, C. Procesi, The automorphism group of a free group is not linear, J. Algebra 149 (1992), 494-499.
    • (1992) J. Algebra , vol.149 , pp. 494-499
    • Formanek, E.1    Procesi, C.2
  • 13
    • 25744433195 scopus 로고
    • Über modulare Darstellungen endlicher Gruppen, die von freien Gruppen induziert werden
    • W. Gaschütz, Über modulare Darstellungen endlicher Gruppen, die von freien Gruppen induziert werden, Math. Z. 60 (1954), 274-286.
    • (1954) Math. Z , vol.60 , pp. 274-286
    • Gaschütz, W.1
  • 14
    • 0001615330 scopus 로고
    • Finite quotients of the automorphism group of a free group
    • R. Gilman, Finite quotients of the automorphism group of a free group, Canad. J. Math. 29 (1977), 541-551.
    • (1977) Canad. J. Math , vol.29 , pp. 541-551
    • Gilman, R.1
  • 15
    • 0003301737 scopus 로고
    • Relation Modules of Finite Groups, CBMS
    • K. Gruenberg, Relation Modules of Finite Groups, CBMS 25, Amer. Math. Soc. (1976).
    • (1976) Amer. Math. Soc , vol.25
    • Gruenberg, K.1
  • 17
    • 0033570865 scopus 로고    scopus 로고
    • Rigidity results for groups with radical, cohomology of finite groups and arithmeticity problems
    • F. Grunewald, V. Platonov, Rigidity results for groups with radical, cohomology of finite groups and arithmeticity problems, Duke Math. J. 100 (1999), 321-358.
    • (1999) Duke Math. J , vol.100 , pp. 321-358
    • Grunewald, F.1    Platonov, V.2
  • 18
    • 0038720024 scopus 로고    scopus 로고
    • On the spread of finite simple groups
    • R. Guralnick, A. Shalev, On the spread of finite simple groups, Combinatorica 23 (2003), 73-87.
    • (2003) Combinatorica , vol.23 , pp. 73-87
    • Guralnick, R.1    Shalev, A.2
  • 19
    • 0009071132 scopus 로고
    • Normal automorphisms of absolute Galois groups of ℘-adic fields
    • M. Jarden, J. Ritter, Normal automorphisms of absolute Galois groups of ℘-adic fields, Duke Math. J. 47 (1980), 47-56.
    • (1980) Duke Math. J , vol.47 , pp. 47-56
    • Jarden, M.1    Ritter, J.2
  • 20
    • 0008013419 scopus 로고
    • Torsion in profinite completions of torsion-free groups
    • A. Lubotzky, Torsion in profinite completions of torsion-free groups, Quart. J. Math. Oxford Series 44 (1993), 327-332.
    • (1993) Quart. J. Math. Oxford Series , vol.44 , pp. 327-332
    • Lubotzky, A.1
  • 21
    • 0001428611 scopus 로고
    • Varieties of Representations of Finitely Generated Groups
    • A. Lubotzky, A.R. Magid, Varieties of Representations of Finitely Generated Groups, Mem. Amer. Math. Soc. 58 (1985).
    • (1985) Mem. Amer. Math. Soc , pp. 58
    • Lubotzky, A.1    Magid, A.R.2
  • 22
    • 0035581584 scopus 로고    scopus 로고
    • The product replacement algorithm and Kazhdan's property (T)
    • A. Lubotzky, I. Pak, The product replacement algorithm and Kazhdan's property (T), J. Amer. Math. Soc. 14 (2001), 347-363.
    • (2001) J. Amer. Math. Soc , vol.14 , pp. 347-363
    • Lubotzky, A.1    Pak, I.2
  • 24
    • 0007340887 scopus 로고
    • Die Automorphismengruppe der freien Gruppen
    • B.H. Neumann, Die Automorphismengruppe der freien Gruppen, Math. Ann. 107 (1933), 367-386.
    • (1933) Math. Ann , vol.107 , pp. 367-386
    • Neumann, B.H.1
  • 25
    • 0012888948 scopus 로고
    • On a question of Gaschütz
    • B.H. Neumann, On a question of Gaschütz, Archiv der Math. 7 (1956), 87-90.
    • (1956) Archiv Der Math , vol.7 , pp. 87-90
    • Neumann, B.H.1
  • 26
    • 0642358419 scopus 로고
    • Die Isomorphismengruppe der freien Gruppen
    • J. Nielsen, Die Isomorphismengruppe der freien Gruppen, Math. Ann. 91 (1924), 169-208.
    • (1924) Math. Ann , vol.91 , pp. 169-208
    • Nielsen, J.1
  • 27
    • 0005896151 scopus 로고    scopus 로고
    • What do we know about the product replacement algorithm? Groups and Computation III (Columbus, Ohio, 1999)
    • de Gruyter, Berlin
    • I. Pak, What do we know about the product replacement algorithm? Groups and Computation III (Columbus, Ohio, 1999), Ohio State Univ. Math. Res. Inst. Publ. 8, de Gruyter, Berlin (2001), 301-347.
    • (2001) Ohio State Univ. Math. Res. Inst. Publ , vol.8 , pp. 301-347
    • Pak, I.1
  • 29
    • 22844454456 scopus 로고    scopus 로고
    • n), n ≥ 3, Transactions of the Amer
    • n), n ≥ 3, Transactions of the Amer. Math. Soc. 352 (1999), 1437-1451.
    • (1999) Math. Soc , vol.352 , pp. 1437-1451
    • Potapchik, A.1    Rapinchuk, A.2
  • 31
    • 0000600465 scopus 로고
    • Le probléme des groupes des congruence pour SL2
    • J.-P. Serre, Le probléme des groupes des congruence pour SL2, Ann. of Math. 92 (1970), 489-527.
    • (1970) Ann. of Math , vol.92 , pp. 489-527
    • Serre, J.-P.1
  • 32
    • 0003535571 scopus 로고
    • Linear Representations of Finite Groups
    • Springer Verlag, New York, Berlin, Heidelberg
    • J.-P. Serre, Linear Representations of Finite Groups, Graduate Text in Math. 42, Springer Verlag, New York, Berlin, Heidelberg (1993).
    • (1993) Graduate Text In Math , vol.42
    • Serre, J.-P.1
  • 33
    • 84956117744 scopus 로고
    • The structure of classical arithmetic groups of rank greater than one
    • L. Vaserstein, The structure of classical arithmetic groups of rank greater than one, Math. USSR Sbornik (English translation) 20 (1973), 465-492.
    • (1973) Math. USSR Sbornik (English Translation) , vol.20 , pp. 465-492
    • Vaserstein, L.1
  • 34
    • 23544450425 scopus 로고
    • The group SL2 over Dedekind rings of arithmetic type
    • L. Vaserstein, The group SL2 over Dedekind rings of arithmetic type, Mat. Sb. 89 (1972), 313-322.
    • (1972) Mat. Sb , vol.89 , pp. 313-322
    • Vaserstein, L.1
  • 35
    • 84972582310 scopus 로고
    • On systems of generators of arithmetic subgroups of higher rank groups
    • T.N. Venkataramana, On systems of generators of arithmetic subgroups of higher rank groups, Pacific Journal of Math. 166:1 (1994), 193-212.
    • (1994) Pacific Journal of Math , vol.166 , Issue.1 , pp. 193-212
    • Venkataramana, T.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.