The Schur multiplier of central product of groups |
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Authors: | Sumana Hatui LR Vermani Manoj K Yadav |
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Institution: | 1. School of Mathematics, Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad 211019, India;2. Homi Bhabha National Institute, Training School Complex, Anushakti Nagar, Mumbai 400085, India;3. 961, Sector 7, Urban Estate, Kuruskhetra, India |
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Abstract: | Let G be a central product of two groups H and K. We study second cohomology group of G, having coefficients in a divisible abelian group D with trivial G-action, in terms of the second cohomology groups of certain quotients of H and K. In particular, for , some of our results provide a refinement of results from Wiegold (1971) 10] and Eckmann et al. (1973) 2]. |
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Keywords: | 20J06 |
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