Sharp permutation groups

Tatsuro ITO; Masao KIYOTA

doi:10.2969/jmsj/03330435

Tatsuro ITO, Masao KIYOTA

著者情報

ジャーナルフリー

1981 年 33 巻 3 号 p. 435-444

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

詳細

Published: 1981 Received: 1979/03/12 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 所属機関情報訂正内容: 訂正前 :
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

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

訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: 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.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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