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cyclic construction; dihedral construction; quarter distance

References:

[1] Bálek M., Drápal A., Zhukavets N.: **The neighbourhood of dihedral $2$-groups**. submitted.

[2] Donovan D., Oates-Williams S., Praeger C.E.: **On the distance of distinct Latin squares**. J. Combin. Des. 5 (1997), 235-248. MR 1451283

[3] Drápal A.: **Non-isomorphic $2$-groups coincide at most in three quarters of their multiplication tables**. European J. Combin. 21 (2000), 301-321. MR 1750166

[4] Drápal A.: **On groups that differ in one of four squares**. European J. Combin. 23 (2002), 899-918. MR 1938347 | Zbl 1044.20009

[5] Drápal A.: **On distances of $2$-groups and $3$-groups**. Proceedings of Groups St. Andrews 2001 in Oxford, to appear. MR 2051524

[6] Drápal A., Zhukavets N.: **On multiplication tables of groups that agree on half of columns and half of rows**. Glasgow Math. J. 45 (2003), 293-308. MR 1997707

[7] Zhukavets N.: **On small distances of small $2$-groups**. Comment. Math. Univ. Carolinae 42 (2001), 247-257. MR 1832144 | Zbl 1057.20018