On the nonabelian tensor square and capability of groups of order p2q
A group G is said to be capable if it is isomorphic to the central factor group H/Z(H) for some group H. Let G be a nonabelian group of order p 2 q for distinct primes p and q. In this paper, we compute the nonabelian tensor square of the group G. It is also shown that G is capable if and only if ei...
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| Main Authors: | , , , |
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| Format: | Article |
| Published: |
SP Birkhäuser Verlag Basel
2011
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| Subjects: | |
| Online Access: | http://eprints.utm.my/id/eprint/29671/ http://dx.doi.org/10.1007/s00013-011-0304-8 |
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| Summary: | A group G is said to be capable if it is isomorphic to the central factor group H/Z(H) for some group H. Let G be a nonabelian group of order p 2 q for distinct primes p and q. In this paper, we compute the nonabelian tensor square of the group G. It is also shown that G is capable if and only if either Z(G) = 1 or p < q and Gab=Zp×Zp . |
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