Finite groups with central Sylow 2-intersections

Kensaku GOMI

doi:10.2969/jmsj/02520342

Kensaku GOMI

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JOURNAL FREE ACCESS

1973 Volume 25 Issue 2 Pages 342-355

DOI https://doi.org/10.2969/jmsj/02520342

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Published: 1973 Received: July 06, 1972 Available on J-STAGE: September 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) J. L. Alperin and D. Gorenstein, The multiplicators of certain simple groups, Proc. Amer. Math. Soc., 17 (1966), 515-519.
2) H. Bender, On groups with Abelian Sylow 2-subgroups, Math. Z., 117 (1970), 164-176.
3) W. Feit and J. G. Thompson, Solvability of groups of odd order, Pacific J. Math., 13 (1963), 755-1029.
4) G. Glauberman, Central elements of core-free groups, J. Algebra, 4 (1966), 403-420.
5) D. Gorenstein, Finite groups, Harper and Row, New York, 1968.
6) D. Gorenstein and J. H. Walter, The π-layer of a finite group, Illinois J. Math., 15 (1971), 555-565.
7) D. Gorenstein and J. H. Walter, Centralizers of involutions in balanced groups, J. Algebra, 20 (1972), 284-319.
8) B. Huppert, Endliche Gruppen, Springer-Verlag, Berlin/New York, 1968.
9) R. Steinberg, Automorphisms of finite linear groups, Canad. J. Math., 12 (1960), 606-615.
10) M. Suzuki, On a class of doubly transitive groups I, Ann. of Math., 75 (1962), 105-145.
11) M. Suzuki, Finite groups of even order in which Sylow 2-subgroups are independent, Ann. of Math., 80 (1964), 58-77.
12) J. G. Thompson, Non-solvable finite groups all of whose local subgroups are solvable, Bull. Amer. Math. Soc., 74 (1968), 383-437.
13) J. H. Walter, The characterization of finite groups with Abelian Sylow 2-subgroups, Ann. of Math., 89 (1969), 405-514.

Right : [1] J. L. Alperin and D. Gorenstein, The multiplicators of certain simple groups, Proc. Amer. Math. Soc., 17 (1966), 515-519.
[2] H. Bender, On groups with Abelian Sylow 2-subgroups, Math. Z., 117 (1970), 164-176.
[3] W. Feit and J. G. Thompson, Solvability of groups of odd order, Pacific J. Math., 13 (1963), 755-1029.
[4] G. Glauberman, Central elements of core-free groups, J. Algebra, 4 (1966), 403-420.
[5] D. Gorenstein, Finite groups, Harper and Row, New York, 1968.
[6] D. Gorenstein and J. H. Walter, The π-layer of a finite group, Illinois J. Math., 15 (1971), 555-565.
[7] D. Gorenstein and J. H. Walter, Centralizers of involutions in balanced groups, J. Algebra, 20 (1972), 284-319.
[8] B. Huppert, Endliche Gruppen, Springer-Verlag, Berlin/New York, 1968.
[9] R. Steinberg, Automorphisms of finite linear groups, Canad. J. Math., 12 (1960), 606-615.
[10] M. Suzuki, On a class of doubly transitive groups I, Ann. of Math., 75 (1962), 105-145.
[11] M. Suzuki, Finite groups of even order in which Sylow 2-subgroups are independent, Ann. of Math., 80 (1964), 58-77.
[12] J. G. Thompson, Non-solvable finite groups all of whose local subgroups are solvable, Bull. Amer. Math. Soc., 74 (1968), 383-437.
[13] J. H. Walter, The characterization of finite groups with Abelian Sylow 2-subgroups, Ann. of Math., 89 (1969), 405-514.

Date of correction: September 29, 2006 Reason for correction: - Correction: PDF FILE Details: -

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