• Mathematics
  • Published 1998

Fischer-Clifford theory and character tables of group extensions.

@inproceedings{Mpono1998FischerCliffordTA,
  title={Fischer-Clifford theory and character tables of group extensions.},
  author={Zwelethemba Mpono},
  year={1998}
}
The smallest Fischer sporadic simple group Fi22 is generated by a conjugacy class D of 3510 involutions called 3-transpositions such that the product of any noncommuting pair is an element of order 3. In Fi22 there are exactly three conjugacy classes of involutions denoted by D, T and N and represented in the ATLAS [26] by 2A, 2B and 2C, containing 3510, 1216215 and 36486450 elements with corresponding centralizers 2·U(6,2), (2 x 2~+8:U(4,2)):2 and 2+:(83 X 32:4) respectively. In Fi22 , we have… CONTINUE READING

Citations

Publications citing this paper.
SHOWING 1-10 OF 13 CITATIONS

ON THE NON-SPLIT EXTENSION GROUP 26SP (6, 2)

VIEW 9 EXCERPTS
CITES BACKGROUND & METHODS
HIGHLY INFLUENCED

THE FISCHER-CLIFFORD MATRICES OF AN EXTENSION GROUP OF THE FORM 2:(2:S6)

VIEW 10 EXCERPTS
CITES METHODS & BACKGROUND
HIGHLY INFLUENCED

FISCHER MATRICES OF DEMPWOLFF GROUP 25GL (5; 2)

VIEW 6 EXCERPTS
CITES BACKGROUND
HIGHLY INFLUENCED

THE FISCHER-CLIFFORD MATRICES OF THE INERTIA GROUP 27:O−

VIEW 16 EXCERPTS
CITES BACKGROUND & METHODS
HIGHLY INFLUENCED

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