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Permutation groups with bounded movement having maximum orbits

โœ Scribed by ALAEIYAN, MEHDI; RAZZAGHMANESHI, BEHNAM

Book ID
113094394
Publisher
Indian Academy of Sciences
Year
2012
Tongue
English
Weight
123 KB
Volume
122
Category
Article
ISSN
0253-4142

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Let G be a permutation group on a set โ„ฆ such that G has no fixed points in โ„ฆ. If, for a given positive integer m, the cardinalities |ฮ“ g \ฮ“ | is at most m for all g โˆˆ G and ฮ“ โŠ† โ„ฆ, then G is said to have bounded movement m on โ„ฆ. When the maximum of |ฮ“ g \ฮ“ | over all g โˆˆ G and ฮ“ โŠ† โ„ฆ is equal to m, we