Sylow theory of C C -groups

Javier Otal; Juan Manuel Peña

Rendiconti del Seminario Matematico della Università di Padova (1991)

  • Volume: 85, page 105-118
  • ISSN: 0041-8994

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Otal, Javier, and Peña, Juan Manuel. "Sylow theory of $CC$-groups." Rendiconti del Seminario Matematico della Università di Padova 85 (1991): 105-118. <http://eudml.org/doc/108210>.

@article{Otal1991,
author = {Otal, Javier, Peña, Juan Manuel},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {Chernikov group; Sylow p-subgroups; CC-groups; Sylow -subgroups; Sylow bases; self-normalizing locally nilpotent subgroups; periodic locally soluble CC-groups; local conjugacy theorems; conjugacy of Carter subgroups; (locally nilpotent)-by-finite},
language = {eng},
pages = {105-118},
publisher = {Seminario Matematico of the University of Padua},
title = {Sylow theory of $CC$-groups},
url = {http://eudml.org/doc/108210},
volume = {85},
year = {1991},
}

TY - JOUR
AU - Otal, Javier
AU - Peña, Juan Manuel
TI - Sylow theory of $CC$-groups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1991
PB - Seminario Matematico of the University of Padua
VL - 85
SP - 105
EP - 118
LA - eng
KW - Chernikov group; Sylow p-subgroups; CC-groups; Sylow -subgroups; Sylow bases; self-normalizing locally nilpotent subgroups; periodic locally soluble CC-groups; local conjugacy theorems; conjugacy of Carter subgroups; (locally nilpotent)-by-finite
UR - http://eudml.org/doc/108210
ER -

References

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  1. [1] J. Alcazar - J. Otal, Sylow subgroup of group with Černikov conjugacy classes, J. Algebra110 (1987), pp. 507-513. Zbl0624.20026MR910399
  2. [2] B. Bruno - R.E. Phillips, On minimal conditions related to Miller-Moreno type groups, Rend. Sem. Mat. Univ. Padova69 (1983), pp. 153-168. Zbl0522.20022MR716991
  3. [3] A.D. Gardiner - B. HARTLEY - M. J. TOMKINSON, Saturated formations and Sylow structure in locally finite groups, J. Algebra17 (1971), pp. 177-211. Zbl0215.10605MR272897
  4. [4] B. Hartley, Sylow theory in locally finite groups, Comp. Math.23 (1972), pp. 263-280. Zbl0248.20036MR316557
  5. [5] J. Otal - J. M. PEÑA, Minimal non-CC-groups, Comm. Algebra16 (1988), pp. 1231-1242. Zbl0644.20025MR939041
  6. [6] J. Otal - J. M. PEÑA, Characterizations of the conjugacy of SyLow p-subgroups of CC-groups, Proc. Amer. Math. Soc.106 (1989), pp. 605-610. Zbl0672.20017MR961407
  7. [7] J. Otal - J. M. PEÑA, Locally nilpotent injectors of CC-groups, in «Contribuciones Matematicas en Homenaje al Prof. D. Antonio Plans». Universidad de Zaragoza (1990), pp. 233-238. Zbl1293.20037
  8. [8] J. Otal - J.M. Peña - M.J. Tomkinson, Locally inner automorphisms of CC-groups, J. Algebra to appear. Zbl0735.20019MR1125703
  9. [9] Ya. D.POLOVICKIĭ, Groups with extremal classes of conjugate elements, Sibirsk. Mat Z.5 (1964), pp. 891-895. MR168658
  10. [10] D.J.S. Robinson, Finiteness conditions and generalized soluble groups, Springer, Berlin (1972). Zbl0243.20032
  11. [11] S.E. Stonehewer, Abnormal subgroups of a class of periodic locally soluble groups, Proc. London Math. Soc. (3) 14 (1964), pp. 520-536. Zbl0123.24902MR165012
  12. [12] S.E. Stonehewer, Some finiteness conditions in locally soluble groups, J. London Math. Soc. (3) 19 (1969), pp. 675-708. Zbl0165.03801MR229726
  13. [13] M.J. Tomkinson, FC-group, Pitman, Boston (1984). 

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