Sharp permutation groups

Tatsuro ITO; Masao KIYOTA

doi:10.2969/jmsj/03330435

Tatsuro ITO, Masao KIYOTA

Author information

JOURNAL FREE ACCESS

1981 Volume 33 Issue 3 Pages 435-444

DOI https://doi.org/10.2969/jmsj/03330435

Details

Published: 1981 Received: March 12, 1979 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
Correction information
Date of correction: October 20, 2006 Reason for correction: - Correction: AFFILIATION Details: Wrong :
1) Royal Holloway College University of London and Department of Mathematics University of Tsukuba
2) Department of Mathematics University of Tokyo
3) Department of Mathematics University of Tsukuba

Right :
1) Royal Holloway College University of London
2) Department of Mathematics University of Tokyo
3) Department of Mathematics University of Tsukuba

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) H. Bender, Endliche zweifach transitive Permutationsgruppen, deren Involutionen keine Fixpunkte haven, Math. Z., 104 (1968), 175-204.
2) H. Bender, Transitive Gruppen gerader Ordnung, in denen jede Involution genau einen Punkt festläßt, J. Algebra, 17 (1971), 527-554.
3) F. Buekenhout and P. Rowlinson, On (1, 4)-Groups III, J. London Math. Soc., 14 (1976), 487-495.
4) M. Deza, On permutation cligues, (preprint, Universite de Montreal, CRM-778, March 1978).
5) C. Hering, Zweifach transitive Permutationsgruppen, in denen 2 die maximale Anzahl von Fixpunkten von Involutionen ist, Math. Z., 104 (1968), 150-174.
6) N. Iwahori, On a property of finite groups, J. Fac. Sci. Univ. Tokyo, 11 (1964), 47-64.
7) N. Iwahori and T. Kondo, On finite groups admitting a permutation representation P such that Tr P(σ)=3 for all σ≠1, J. Fac. Sci. Univ. Tokyo, 11 (1964), 113-144.
8) N. Iwahori and T. Kondo, A criterion for the existence of a non-trivial partition of a finite group with applications to finite reflection groups, J. Math. Soc. Japan, 17 (1965), 207-215.
9) J. D. King, Doubly transitive groups in which involutions fix one or three points, Math. Z., 111 (1969), 311-321.
10) M. Kiyota, An inequality for finite permutation groups, J. Combinatorial Theory Ser. A, 27 (1979), 119.
11) O. Pretzel and A. Schleiermacher, On permutation groups whose nontrivial elements have at most three fixed points, Proc. London Math. Soc., 31 (1975), 1-20.
12) O. Pretzel and A. Schleiermacher, On permutation groups in which non-trivial elements have p fixed points or none, Proc. London Math. Soc., 30 (1975), 471-495.
13) M. Suzuki, On a finite group with a partition, Arch. Math., 12 (1961), 241-254.
14) T. Tuzuku, Transitive extensions of certain permutation groups of rank 3, Nagoya Math. J., 31 (1968), 31-36.

Right : [1] H. Bender, Endliche zweifach transitive Permutationsgruppen, deren Involutionen keine Fixpunkte haven, Math. Z., 104 (1968), 175-204.
[2] H. Bender, Transitive Gruppen gerader Ordnung, in denen jede Involution genau einen Punkt festläßt, J. Algebra, 17 (1971), 527-554.
[3] F. Buekenhout and P. Rowlinson, On (1, 4)-Groups III, J. London Math. Soc., 14 (1976), 487-495.
[4] M. Deza, On permutation cligues, (preprint, Universite de Montreal, CRM-778, March 1978).
[5] C. Hering, Zweifach transitive Permutationsgruppen, in denen 2 die maximale Anzahl von Fixpunkten von Involutionen ist, Math. Z., 104 (1968), 150-174.
[6] N. Iwahori, On a property of finite groups, J. Fac. Sci. Univ. Tokyo, 11 (1964), 47-64.
[7] N. Iwahori and T. Kondo, On finite groups admitting a permutation representation P such that Tr P(σ)=3 for all σ≠1, J. Fac. Sci. Univ. Tokyo, 11 (1964), 113-144.
[8] N. Iwahori and T. Kondo, A criterion for the existence of a non-trivial partition of a finite group with applications to finite reflection groups, J. Math. Soc. Japan, 17 (1965), 207-215.
[9] J. D. King, Doubly transitive groups in which involutions fix one or three points, Math. Z., 111 (1969), 311-321.
[10] M. Kiyota, An inequality for finite permutation groups, J. Combinatorial Theory Ser. A, 27 (1979), 119.
[11] O. Pretzel and A. Schleiermacher, On permutation groups whose nontrivial elements have at most three fixed points, Proc. London Math. Soc., 31 (1975), 1-20.
[12] O. Pretzel and A. Schleiermacher, On permutation groups in which non-trivial elements have p fixed points or none, Proc. London Math. Soc., 30 (1975), 471-495.
[13] M. Suzuki, On a finite group with a partition, Arch. Math., 12 (1961), 241-254.
[14] T. Tuzuku, Transitive extensions of certain permutation groups of rank 3, Nagoya Math. J., 31 (1968), 31-36.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

Corresponding author

Correction information

Register with J-STAGE for free!