p-Lengths of p-Radical Groups Are Unbounded
نویسندگان
چکیده
منابع مشابه
Elementary abelian p - groups of rank 2 p + 3 are not CI - groups
For every prime p > 2 we exhibit a Cayley graph on Z2p+3 p which is not a CI-graph. This proves that an elementary abelian p-group of rank greater than or equal to 2p+ 3 is not a CI-group. The proof is elementary and uses only multivariate polynomials and basic tools of linear algebra. Moreover, we apply our technique to give a uniform explanation for the recent works of Muzychuk and Spiga conc...
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For simplicity, we use the following convention: G is a group, a, b are elements of G, m, n are natural numbers, and p is a prime natural number. One can prove the following propositions: (1) If for every natural number r holds n 6= pr, then there exists an element s of N such that s is prime and s | n and s 6= p. (2) For all natural numbers n, m such that n | pm there exists a natural number r...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1994
ISSN: 0021-8693
DOI: 10.1006/jabr.1994.1258