Algebra and Logic

, Volume 10, Issue 4, pp 225–231 | Cite as

Finite simple groups with unique 2-length of centralizers of involutions

  • V. D. Mazurov
Article

Keywords

Mathematical Logic Simple Group Finite Simple Group 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature cited

  1. 1.
    V. D. Mazurov, “Finite simple groups with cyclically intersecting Sylow 2-subgroups,” Algebra i Logika,10, No. 2, 188–198 (1971).Google Scholar
  2. 2.
    S. A. Syskin, “On finite groups with solvable centralizers of involutions,” Algebra i Logika,10, No. 3, 329–346 (1971).Google Scholar
  3. 3.
    H. Bender, “Transitive Gruppen gerader Ordnung in denen jede Involution genau einen Punkt festhalt,” J. Algebra,17, No. 4, 527–554 (1971).Google Scholar
  4. 4.
    G. Glauberman, “Central elements in core-free groups,” J. Algebra,4, No. 3, 403–420 (1966).Google Scholar
  5. 5.
    D. Gorenstein, “Finite groups the centralizers of whose involutions have normal 2-complements,” Canad. J. Math.,21, No. 2, 335–357 (1969).Google Scholar
  6. 6.
    D. Gorenstein, “On the centralizers of involutions in finite groups. II,” J. Algebra,14, No. 3, 350–372 (1970).Google Scholar
  7. 7.
    G. Higman, “Suzuki 2-groups,” Ill. J. Math.,7, 79–96 (1963).Google Scholar
  8. 8.
    Z. Janko and J. G. Thompson, “On finite simple groups whose Sylow 2-subgroups have no normal elementary subgroups of order 8,” Math. Z.,113, No. 5, 385–397 (1970).Google Scholar
  9. 9.
    M. Suzuki, “Finite groups in which the centralizer of any element of order 2 is 2-closed,” Ann. Math.,82, No. 2, 191–212 (1965).Google Scholar

Copyright information

© Consultants Bureau 1973

Authors and Affiliations

  • V. D. Mazurov

There are no affiliations available

Personalised recommendations