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Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 53-785
Full Name: Qingjun Kong
Position: Doctor (Researcher)
Age: ON
Sex: Male
Address: Tianjin Polytechnic University ,No. 63 Chenglin Road,Hedong District,Tianjin 300160
Country: CHINA
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E-mail address: kqj2929@163.com
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Title of the Paper: On an extension of Caminas theorem on conjugacy class sizes
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Number of paper pages: 10
Abstract: Let G be a finite group. We extend Alan Camina0s theorem on conjugacy class sizes which asserts that if the conjugacy class sizes of G are exactly f1; pa; qb; paqbg, where p and q are two distinct primes and a and b are integers, then G is nilpotent. We show that when the set of conjugacy class sizes of all elements of primary or biprimary orders of G is f1; pa; qb; paqbg, where p and q are two distinct primes and a and b are integers, then G is nilpotent.
Keywords: conjugacy class sizes; nilpotent groups; solvable groups; Sylow p-subgroup;finite groups.
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How Did you learn about congress: Discrete Mathematics
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