메뉴 건너뛰기




Volumn 6, Issue 3, 1997, Pages 247-270

The subgroups of m24, or how to compute the table of marks of a finite group

Author keywords

Burnside ring; Mathieu groups; Subgroup lattice; Table of marks

Indexed keywords


EID: 0031283912     PISSN: 10586458     EISSN: 1944950X     Source Type: Journal    
DOI: 10.1080/10586458.1997.10504613     Document Type: Article
Times cited : (23)

References (25)
  • 2
    • 84966211820 scopus 로고
    • Rees, "The subgroup structure of the Mathieu group M12
    • F. Buekenhout and S. Rees, "The subgroup structure of the Mathieu group M12", Math. Comp. 50:182 (1988), 595-605.
    • (1988) Math. Comp , vol.50 , Issue.182 , pp. 595-605
    • Buekenhout, F.1
  • 3
    • 0003692457 scopus 로고
    • 2nd ed., Cambridge University Press, Cambridge, Reprinted by Dover, New York
    • W. Burnside, Theory of groups of finite order, 2nd ed., Cambridge University Press, Cambridge, 1911. Reprinted by Dover, New York, 1955.
    • (1911) Theory of Groups of Finite Order , pp. 1955
    • Burnside, W.1
  • 4
    • 84966242875 scopus 로고
    • 24, I: Stabilizers of subsets
    • 24, I: Stabilizers of subsets", Trans. Amer. Math. Soc. 167 (1972), 1-27.
    • (1972) Trans. Amer. Math. Soc. , vol.167 , pp. 1-27
    • Choi, C.1
  • 5
    • 0010959221 scopus 로고
    • 24, II: The maximal subgroups of M24
    • 24, II: The maximal subgroups of M24", Trans. Amer. Math. Soc. 167 (1972), 29-47.
    • (1972) Trans. Amer. Math. Soc , vol.167 , pp. 29-47
    • Choi, C.1
  • 6
    • 0002495481 scopus 로고
    • Finite simple groups (Oxford, 1969), edited by M. B. Powell and G. Higman, Academic Press, London
    • J. H. Conway, "Three lectures on exceptional groups", pp. 215-247 in, Finite simple groups (Oxford, 1969), edited by M. B. Powell and G. Higman, Academic Press, London, 1971.
    • (1971) Three Lectures on Exceptional Groups , pp. 215-247
    • Conway, J.H.1
  • 11
    • 0000207206 scopus 로고
    • A characterisation of solvable groups
    • A. Dress, "A characterisation of solvable groups", Math. Z. 110 (1969), 213-217.
    • (1969) Math. Z. , vol.110 , pp. 213-217
    • Dress, A.1
  • 12
    • 0011008941 scopus 로고
    • An interactive program for computing subgroups
    • edited by M. D. Atkinson, Academic Press, London
    • V. Felsch and G. Sandlobes, "An interactive program for computing subgroups", pp. 137-143 in Computational group theory (Durham, 1982), edited by M. D. Atkinson, Academic Press, London, 1984.
    • (1984) In Computational Group Theory (Durham, 1982) , pp. 137-143
    • Felsch, V.1    Sandlobes, G.2
  • 14
    • 77955478020 scopus 로고
    • The Eulerian functions of a group
    • Reprinted in The collected works of Philip Hall, Clarendon Press, Oxford 1988
    • P. Hall, "The Eulerian functions of a group", Quart J. Math. 7 (1936),134-151. Reprinted in The collected works of Philip Hall, Clarendon Press, Oxford 1988.
    • (1936) Quart J. Math , vol.7 , pp. 134-151
    • Hall, P.1
  • 15
    • 0000812306 scopus 로고
    • On the Mobius function of a finite group", Rocky Mountain
    • T. Hawkes, I. M. Isaacs, and M. Ozaydin, "On the Mobius function of a finite group", Rocky Mountain J. Math. 19:4 (1989), 1003-1034.
    • (1989) J. Math , vol.19 , Issue.4 , pp. 1003-1034
    • Hawkes, T.1    Isaacs, I.M.2    Ozaydin, M.3
  • 16
    • 0003630680 scopus 로고
    • Dover, New York, Corrected reprint of the 1976 original
    • I. M. Isaacs, Character theory of finite groups, Dover, New York, 1994. Corrected reprint of the 1976 original.
    • (1994) Character Theory of Finite Groups
    • Isaacs, I.M.1
  • 18
    • 0000645745 scopus 로고
    • Intersections of maximal subgroups in simple groups of order less than 106", Comm
    • E. A. Komissartschik and S. V. Tsaranov, "Intersections of maximal subgroups in simple groups of order less than 106", Comm. Algebra 14:9 (1986), 1623-1678.
    • (1986) Algebra , vol.14 , Issue.9 , pp. 1623-1678
    • Komissartschik, E.A.1    Tsaranov, S.V.2
  • 19
    • 0010959222 scopus 로고
    • The subgroup structure of the Hall-Janko group J2", Bayreuth
    • H. Pahlings, "The subgroup structure of the Hall-Janko group J2", Bayreuth. Math. Schr. 23 (1987), 135-165.
    • (1987) Math. Schr , vol.23 , pp. 135-165
    • Pahlings, H.1
  • 20
    • 0002607110 scopus 로고
    • On the Mobius function of a finite group
    • H. Pahlings, "On the Mobius function of a finite group", Arch. Math. (1993), 7-14.
    • (1993) Arch. Math. , pp. 7-14
    • Pahlings, H.1
  • 22
    • 0011024915 scopus 로고
    • 24 ", 1995. See http://schmidt.ucg.ie/-goetz/pub/m24sub. html
    • (1995) 24
    • Pfeiffer, G.1
  • 23
    • 34347166234 scopus 로고
    • On the foundations of combinatorial theory I: Theory of Mobius functions", Z. Wahrscheinlichkeitstheorie und Verw
    • G.-C. Rota, "On the foundations of combinatorial theory I: Theory of Mobius functions", Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 2 (1964), 340-368.
    • (1964) Gebiete , vol.2 , pp. 340-368
    • Rota, G.-C.1
  • 25
    • 0002817129 scopus 로고
    • A representation of the Mathieu group M24 as a collineation group
    • J. A. Todd, "A representation of the Mathieu group M24 as a collineation group", Ann. Mat. Pura Appl. (4) 71 (1966), 199-238.
    • (1966) Ann. Mat. Pura Appl , vol.71 , Issue.4 , pp. 199-238
    • Todd, J.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.