On locally finite groups and the centralizers of automorphisms

Pavel Shumyatsky

Bollettino dell'Unione Matematica Italiana (2001)

  • Volume: 4-B, Issue: 3, page 731-736
  • ISSN: 0392-4041

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Shumyatsky, Pavel. "On locally finite groups and the centralizers of automorphisms." Bollettino dell'Unione Matematica Italiana 4-B.3 (2001): 731-736. <http://eudml.org/doc/196224>.

@article{Shumyatsky2001,
author = {Shumyatsky, Pavel},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {nilpotent locally finite groups},
language = {eng},
month = {10},
number = {3},
pages = {731-736},
publisher = {Unione Matematica Italiana},
title = {On locally finite groups and the centralizers of automorphisms},
url = {http://eudml.org/doc/196224},
volume = {4-B},
year = {2001},
}

TY - JOUR
AU - Shumyatsky, Pavel
TI - On locally finite groups and the centralizers of automorphisms
JO - Bollettino dell'Unione Matematica Italiana
DA - 2001/10//
PB - Unione Matematica Italiana
VL - 4-B
IS - 3
SP - 731
EP - 736
LA - eng
KW - nilpotent locally finite groups
UR - http://eudml.org/doc/196224
ER -

References

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  1. CHAO, CHONG-YUN, Some characterizations of nilpotent Lie algebras, Math. Z., 103 (1968), 40-42. Zbl0178.03603MR223415
  2. GORENSTEIN, D., Finite groups, New York, Evanston, London: Harper and Row, 1968. Zbl0185.05701MR231903
  3. HALL, H., Some sufficient conditions for a group to be nilpotent, Illinois J. Math., 2 (1958), 595-622. Zbl0084.25602MR105441
  4. KEGEL, O. H.- WEHRFRITZ, B. A. F., Locally finite groups, North Holland, Amsterdam, 1973. Zbl0259.20001MR470081
  5. KHUKHRO, E. I.- SHUMYATSKY, P., On fixed points of automorphisms of Lie rings and locally finite groups, Algebra and Logic, 34 (1995), 395-405. Zbl0901.20026MR1400710
  6. KREKNIN, V. A., Solvability of Lie algebras with a regular automorphism of finite period, Soviet Math. Dokl., 4 (1963), 683-685. Zbl0134.03604MR157990
  7. SHUMYATSKY, P., On periodic soluble groups and the fixed point groups of operators, Comm. Algebra, 20(10) (1992), 2815-2820. Zbl0795.20015MR1179263
  8. SHUMYATSKY, P., On periodic solvable groups having automorphisms with nilpotent fixed point groups, Israel Math. J., 87 (1994), 111-116. Zbl0815.20020MR1286819
  9. WARD, J. N., Automorphisms of finite groups and their fixed-point subgroups, J. Austral. Math. Soc., 9 (1969), 467-477. Zbl0182.03901MR242940
  10. WARD, J. N., On finite groups admitting automorphisms with nilpotent fixed-point group, Bull. Austral. Math. Soc., 5 (1971), 281-282. Zbl0221.20030MR296163
  11. WARD, J. N., On groups admitting a noncyclic abelian automorphism group, Bull. Austral. Math. Soc., 9 (1973), 363-366. Zbl0273.20017MR376852

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