On Groups of Even Order

  title={On Groups of Even Order},
  author={Kevin A. Fowler}
3 REPRINT OF [64] 3. In Section III , it is shown that if the group ~ contains more than one class of involutions , then any t ,vo involutions have distance at most 3. This implies that if the t " ,.o elements G and H both have normalizers of even order 1 An element G is real in ~ if and only if every character of ~ has a real value for G. Note that if G is not real in ~ , it may be real in groups containing ~ as a subgroup. 565 By RICHARD BRAUER AND K . A . FOWLER 

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