On the essential height of homotopy trees with finite fundamental group

Micheal N. Dyer

Compositio Mathematica (1978)

  • Volume: 36, Issue: 2, page 209-224
  • ISSN: 0010-437X

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Dyer, Micheal N.. "On the essential height of homotopy trees with finite fundamental group." Compositio Mathematica 36.2 (1978): 209-224. <http://eudml.org/doc/89367>.

@article{Dyer1978,
author = {Dyer, Micheal N.},
journal = {Compositio Mathematica},
language = {eng},
number = {2},
pages = {209-224},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {On the essential height of homotopy trees with finite fundamental group},
url = {http://eudml.org/doc/89367},
volume = {36},
year = {1978},
}

TY - JOUR
AU - Dyer, Micheal N.
TI - On the essential height of homotopy trees with finite fundamental group
JO - Compositio Mathematica
PY - 1978
PB - Sijthoff et Noordhoff International Publishers
VL - 36
IS - 2
SP - 209
EP - 224
LA - eng
UR - http://eudml.org/doc/89367
ER -

References

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  3. [3] M.N. Dyer, Homotopy classification of (π, m )-complexes, Jour. Pure and Applied Algebra, 7 (1976), 249-282. Zbl0351.55007
  4. [4] M.N. Dyer, Homotopy trees: essential height and roots, Ill. Jour. Math., 20 (1976), 306-313. Zbl0336.55013MR405433
  5. [5] M.N. Dyer, Non-minimal roots in homotopy trees, preprint. 
  6. [6] S. Maclane, Homology, Springer-Verlag, Berlin, 1963. Zbl0133.26502MR156879
  7. [7] S. Maclane, and J.H.C. Whitehead, On the 3-type of a complex, Proc. Nat. Acad. Sci.U.S.A., vol. 36 (1950), 41-48. Zbl0035.39001MR33519
  8. [8] W. Metzler, Uber den Homotopietyp zweidimensionaler CW-Komplexe und Elementartransformationen bei Darstellungen von Gruppen durch Erzeugende und definierende Relationen, to appear in the Journal fur die Reine und Angewandte Mathematik. Zbl0325.57003MR440527
  9. [9] A.J. Sieradski, A semigroup of simple homotopy types. Math. Zeit., 153 (1977), 135-148. Zbl0358.57006MR438321
  10. [10] R.G. Swan, Periodic resolutions for finite groups, Ann. Math.72 (1960), 267-291. Zbl0096.01701MR124895
  11. [11] R.G. Swan, Minimal resolutions for finite groups, Topology4 (1965), 193-208. Zbl0146.04002MR179234
  12. [12] R.G. Swan, K-theory of finite groups and orders, Lecture notes in mathematics, 149 (Springer-Verlag, Berlin, 1970). Zbl0205.32105MR308195
  13. [13] R.G. Swan, Projective modules over group rings and maximal orders, Ann. Math., 76 (1962), 55-61. Zbl0112.02702MR139635
  14. [14] C.T.C. Wall, Finiteness conditions for CW-complexes I, Ann. Math., 81 (1965), 56-69. Zbl0152.21902MR171284
  15. [15] J.S. Williams, Free presentations and relation modules of finite groups, Jour. Pure and Applied Algebra, 3 (1973), 203-217. Zbl0268.20025MR344351

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