On hypercentral subgroups of infinite groups

Francesco de Giovanni; Alessio Russo

Mathematica Slovaca (2002)

  • Volume: 52, Issue: 3, page 297-307
  • ISSN: 0139-9918

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de Giovanni, Francesco, and Russo, Alessio. "On hypercentral subgroups of infinite groups." Mathematica Slovaca 52.3 (2002): 297-307. <http://eudml.org/doc/34556>.

@article{deGiovanni2002,
author = {de Giovanni, Francesco, Russo, Alessio},
journal = {Mathematica Slovaca},
keywords = {infinite groups; hypercenters; hypercentral subgroups; countably recognizable properties; finiteness conditions; CC-groups},
language = {eng},
number = {3},
pages = {297-307},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On hypercentral subgroups of infinite groups},
url = {http://eudml.org/doc/34556},
volume = {52},
year = {2002},
}

TY - JOUR
AU - de Giovanni, Francesco
AU - Russo, Alessio
TI - On hypercentral subgroups of infinite groups
JO - Mathematica Slovaca
PY - 2002
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 52
IS - 3
SP - 297
EP - 307
LA - eng
KW - infinite groups; hypercenters; hypercentral subgroups; countably recognizable properties; finiteness conditions; CC-groups
UR - http://eudml.org/doc/34556
ER -

References

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  1. BAER R., Group elements of prime power index, Trans. Amer. Math. Soc. 75 (1953), 20-47. (1953) Zbl0051.25702MR0055340
  2. BAER R., Abzählbar erkennbare gruppentheoretische Eigenschaften, Math. Z. 79 (1962), 344-363. (1962) Zbl0105.25901MR0148740
  3. HEINEKEN H.-MOHAMED I. J., A group with trivial centre satisfying the normalizer condition, J. Algebra 10 (1968), 368-376. (1968) Zbl0167.29001MR0235035
  4. PENG T. A., The hypercentre of a finite group, J. Algebra 48 (1977), 46-56. (1977) MR0450400
  5. PENG T. A., Hypercentral subgroups of finite groups, J. Algebra 78 (1982), 431- 436. (1982) Zbl0505.20012MR0680369
  6. ROBINSON D. J. S., Finiteness Conditions and Generalized Soluble Groups, Springer,Berlin, 1972. (1972) Zbl0243.20033

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