Structure and detection theorems for $k[C_{2}\times C_{4}]$-modules

Öztürk Kaptanoǧlu, Semra

Structure and detection theorems for

k [C_{2} \times C_{4}]

-modules

Öztürk Kaptanoǧlu, Semra

Rendiconti del Seminario Matematico della Università di Padova, Tome 124 (2010), p. 169-190 / Harvested from Numdam

Access to full text
Full (PDF)
Full (DJVU)

Publié le : 2010-01-01

MR 2683296 | Zbl 1197.20003

@article{RSMUP_2010__123__169_0,
     author = {\"Ozt\"urk Kaptano\v glu, Semra},
     title = {Structure and detection theorems for $k[C\_{2}\times C\_{4}]$-modules},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {124},
     year = {2010},
     pages = {169-190},
     mrnumber = {2683296},
     zbl = {1197.20003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RSMUP_2010__123__169_0}
}

Öztürk Kaptanoǧlu, Semra. Structure and detection theorems for $k[C_{2}\times C_{4}]$-modules. Rendiconti del Seminario Matematico della Università di Padova, Tome 124 (2010) pp. 169-190. http://gdmltest.u-ga.fr/item/RSMUP_2010__123__169_0/

Bibliographie

[AE] J. L. Alperin - L. Evens, Representations, resolutions, and Quillens's dimension theorem, J. Pure Appl. Algebra, 144 (1981), pp. 1--9. | MR 621284 | Zbl 0469.20008

[Ba] V. A. Basev, Representations of the group $ℤ_{2} \times ℤ_{2}$ in a field of characteristic $2$ , Dokl. Akad. Nauk. SSSR, 141 (1961), pp. 1015--1018. | MR 132097 | Zbl 0111.02901

[Be0] D. Benson, Modular Representation Theory; New Trends and Methods, Lecture Notes in Mathematics, no. 1081, Springer Verlag, Berlin, 1984. | MR 765858 | Zbl 0564.20004

[Be1] D. Benson, Representations and Cohomology, vol. I, Cambridge Univ., Cambridge, 1991. | Zbl 0718.20001

[Be2] D. Benson, Representations and Cohomology, vol. II, Cambridge Univ., Cambridge, 1991.

[Ca] J. F. Carlson, The varieties and the cohomology ring of a module, J. Algebra, 85 (1983), pp. 104--143. | MR 723070 | Zbl 0526.20040

[Ch] L. Chouinard, Projectivity and relative projectivity for group rings, J. Pure Appl. Algebra, 7 (1976), pp. 287--302. | MR 401943 | Zbl 0327.20020

[Co] S. B. Conlon, Certain representation algebras, J. Austral. Math. Soc., 5 (1965), pp. 89--99. | MR 185024 | Zbl 0229.16009

[Da] E. Dade, Endo-permutation modules over $p$ -groups II, Ann. of Math., 108 (1978), pp. 317--346. | MR 506990 | Zbl 0404.16003

[HeRe] A. Heller - I. Reiner, Indecomposable representations, Illinois J. Math., 5 (1961), pp. 314--323. | MR 122890 | Zbl 0111.03101

[Ka] S. Ö. Kaptanoǧlu, Betti numbers of fixed point sets and multiplicities of indecomposable summands, J. Aust. Math. Soc., 74 (2003), pp. 165--171. | MR 1957876 | Zbl 1031.55003

[Ka1] S. Ö. Kaptanoǧlu, A restriction theorem for

[Kr] O. Kroll, Complexity and elementary abelian $p$ -groups, J. Algebra, 88 (1984), pp. 155--172. | MR 741936 | Zbl 0536.20033

[FP] E. F. Friedlander - J. Pevtsova, Representation-theoretic support spaces for finite group schemes, Amer. J. Math., 127, no. 2 (2005), pp. 379--420. | MR 2130619 | Zbl 1072.20009

[FP1] E. F. Friedlander - J. Pevtsova, $Π$ -supports for modules for finite group schemes over a field, Duke Math. J., 139, no. 2 (2007), pp. 317--368. | MR 2352134 | Zbl 1128.20031

[SFP] A. Suslin - E. F. Friedlander - J. Pevtsova, Generic and maximal Jordan types, Invent. Math., 168, no. 3 (2007), pp. 485--522. | MR 2299560 | Zbl 1117.14047